An audio books club charges an initial joining fee of $20.00. The cost per audio book is $15.00. The graph shows the cost of belonging to the club as a function of audio books purchased. How will the graph change if the cost per audio book goes up by $1.00?
(The new function is shown by the dotted line.)

An Audio Books Club Charges An Initial Joining Fee Of $20.00. The Cost Per Audio Book Is $15.00. The

Answers

Answer 1

Answer:

The graph will change by simply having an increased slope of 16 instead of 15.

Step-by-step explanation:

For this problem, we will consider the initial case as stated by the problem where the joining fee is $20 and each book is $15.  Let x represent the number of books that we have purchased.  Then, we can write the following function to represent the cost of this club.

f(x) = 15x + 20

Note, if x = 0, meaning we have no books, then

f(0) = 15(0) + 20

f(0) = 0 + 20

f(0) = 20

Which is the cost of our joining fee.  If x = 1, meaning we have 1 book, then

f(1) = 15(1) + 20

f(1) = 15 + 20

f(1) = 35

Which is the cost of our joining fee and 1 book, which matches our graphed function.

Now, let's consider that the cost of the book is $16 instead of $15 ("the cost per audio book goes up by $1.00").  Then we can modify the slope of our function to reflect this change giving us the new function:

g(x) = 16x + 20

In this new function, our slope increased from 15 to 16, to account for the increase in cost, but our initial 20 remained the same.

So the graph will change by simply having an increased slope of 16 instead of 15.

Cheers.

Answer 2

Answer:

The new function will have a steeper slope, so...

Step-by-step explanation:

Le: t  x ----> the number of audio books purchased

y ---->the cost of belonging to the club in dollars

case 1 (Originally) :

y = 15x + 20

case 2 ( the cost per audio book goes up by $1.00) :

y= (15+1)x+ 20

y = 16x + 20

The slope of the new function is greater than the slope of the original function    

The new function will have a steeper slope:

16  $/ audio book > 15 $/audio book


Related Questions

IF 26% OF A NUMBER IS 65 ,FIND THE NUMBER ?
plzz ans!

Answers

Answer:

48.10 dollars

Step-by-step explanation:

I think JDJDKDIDID

Answer:

250

Step-by-step explanation:

Multiply 100 by 65 and divide that by 26.

The graph of p(x) = 4(x - 1)2+8 will be translated 10 units down, producing the graph of g(x).
Which equation represents the new function, 9(x)

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I’m pretty sure it’s g(x) = 4(x-1)

Last year Anthony earned $24,000. After a brief lay-off this year, Anthony’s income is $18,500.


A.
30% increase


B.
30% decrease


C.
23% increase


D.
23% decrease

Answers

30% decrease because it’s all about subtract

Can someone explain Slope to me? I literally have no idea what is from my teacher or from Aleks. I don't get what y1 and y2 are and i don't get what rise or run is. I have no idea how to get slope (brainliest for whoever explains a function too)

Answers

Yeah, I know Alex sucks. SO slope is the change in Y over x. So to find slope for ex. is lets use points (8,4) and (6,5) the equation to find slope is Y2-Y1 over X2-X1 or Y2-Y1 / X2-X1 and that basically the y's on the points you have. In this case it will be 4 and 5 since y always comes second or after the x. What I like to do is this X1(8), Y1(4) and X2(6), Y2(5). After you have that set up you just put them in the equation it will be 5-4/6-8 which is -1/2 use calculator. So Y is the y-axis and X is the x-axis.

Function is when every input(x) has only one output(y) . For example if we have the table

X,1 , 4 , 5, 9, 10 this is not a function because the -3 has both 9 and 10 for an output.

Y,2, 6 ,6, -3 , -3

A function will look more like this

1 2 3 4 5 6

2 4 6 8 10 12 every output has only one input

I recommend to watch Brian McLogan on youtu he can really help. Just search anything then his name. Or even Function then his name he explains it really well.

Can exponents be integers

Answers

Answer:

NO

Step-by-step explanation:

Exponents are expressed as numbers or variables in superscript above a base number. When the exponent is equal to or greater than 2, it directs how many times the base number is to be multiplied. The numbers 1 and 0 are special exponents, and negative integers as exponents stand for reciprocal values.

Answer:

It matters of what the whole number in front is.

Step-by-step explanation:

For example: 6 to the power of 2 = 36  

if the first number is a decimal: 1.6 to the power of 2.56

Its NOT an exponent if the starting number is a decimal usually.

BRAINLIEST!! Can someone help me with the following problem?


(- 2*10+2)/3 +14*2-5+9=y

Solve for "y" :)

Answers

I believe that the answer is 26 but I’m not completely sure
Have a nice day :)

What is 1/3 + 4/9 and how to solve

Answers

Make them same denominator
1/3 * 3/3 = 3/9
Now add them
3/9 + 4/9 = 7/9

Answer:

7/9

Step-by-step explanation:

To add fractions, you have to have like denominators. First find the LCM (Least Common Multiple) of both denominators. That is 9. The second fraction already has a denominator of 9, so leave it as is. The first fraction doesn't so what will happen is you will be converting it into a fraction with a denominator of 9. Multiply the denominator by 3 to get 9. Then multiply the top by 3 because whatever you do to the bottom you do the top. You will then get 3/9. 3/9+4/9 is equal to 7/9 because you just add the numerators, but keep the denominators the same.

Convert 5.7 yards to feet

Answers

Answer:

17.1 ft

Step-by-step explanation:

Find the percent of change:
From 64 feet to 48 feet

Answers

Answer:16

Step-by-step explanation:

Using this tool you can find the percent Decrease for any value. So, we think you reached us looking for answers to questions like:

1) What is the percentage Decrease from 64 to 48? 2) What is the absolute Decrease from 64 to 48. Or may be: What is the percent change from 64 to 48?

See the solution to these problems just after below.

How to calculate percent change - Step by Step

Percent increase or decrease measures percent changes between two values. Use this calculator when comparing an old value to a new value.

The Percent Calculator (Change) uses this formula:

% change = New Value - Old Value|Old Value|× 100%

Where |Old Value| represents the absolute value of the reference (this is made in order to work well with both positive and negative values of Old Value and New Value. Note that percent change and relative change mean the same thing. It can be a percent increase or a percent decrease depending on the new and the old values. If the new value is greater than the old value, the result will be positive and we will have a increase. On the other hand, if the new value is smaller than old value, the result will be negative and we will have a we have a decrease. The old value, as a reference, may be: a theoretical, the actual, the correct, an accepted, an optimal, the starting, and so on. See more about percent percent change here.

Here are the solutions to the questions stated above:

1) What is the percentage decrease from 64 to 48?

Use the above formula to find the percent change. So, replacing the given values, we have

Percent change = 48 - 6464 x 100 = -25 % (decrease)

Where: 64 is the old value and 48 is the new value. In this case we have a % of decrease because the new value is smaller than the old value.

2) What is the absolute Decrease from 64 to 48?

This problem is not about percent or relative change, but about absolute change. Its solution is very simple:

Absolute change, or

change = new value - old value

= 48 - 64 = -16 (decrease)

Answer: -25%

Step-by-step explanation:A change from 64 to 48 represents a negative change (decrease) of -25%

Use the formula found below on this webpage to find the percent change by replacing the given values:

Percent change = New - Old

|Old|

x 100%

Percent change = 48 - 64

|64|

x 100 = -16

64

x 100 = -25 % (decrease)

Where: 64 is the old value and 48 is the new value. In this case we have a negative change (decrease) of -25 percent because the new value is smaller than the old value.

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Answers

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Answers

the midpoint is ( 1 , 2.5 ) . hope that helps ❤️

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Answers

Answer:

2.5 papers per dollar

Step-by-step explanation:

use a calculator and do 350/140

Answer:

2.5

Step-by-step explanation:

take the number of papers and divide it by cost to determine the number of papers/dollar

350/140

(kinda like a fraction, ima just simplify to make it easy to see the answer)

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5/2

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Hope This Helps

Rachel signed up for a frequent-flier program. She receives 4,300 frequent-flier miles for her first round trip and 1,900 frequent-flier miles for each additional round-trip. How many frequent-flier miles will she have after 5 round-trips?

Answers

Answer: 13800 frequent-flier miles

Step-by-step explanation:

From the question, we are informed that Rachael receives 4,300 frequent-flier miles for her first round trip and 1,900 frequent-flier miles for each additional round-trip.

The number of frequent-flier miles she will she have after 5 round-trips will be:

= 4300 + 1900(5)

= 4300 + 9500

= 13800 frequent-flier miles

A rectangular garden is 4 feet wide and 9 feet long. The dimensions of the pool are 150% larger than the dimensions of the garden.

What are the dimensions of the pool?


600 feet wide and 1350 feet long.

6 feet wide and 13.5 feet long

5.5 feet wide and 10.5 feet long

8 feet wide and 18 feet long

Answers

Answer: B) 6 feet wide and 13.5 feet long

================================================

Work Shown:

150% = 1.5 after moving the decimal 2 spots to the left

Multiply this with each of the dimensions given

4*1.5 = 6

9*1.5 = 13.5

The pool is 6 feet by 13.5 feet

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Answers

Answer:

If triangle EFD is similar to ABC then side EF = 9 cm

Step-by-step explanation:

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I think the answer would have to be D. If the diameter, which is the distance from one point on the circle through the center to another point on the circle, is halved then the amount of concrete that will be needed will be multiplied by 4. I think that's right I am so sorry in advance if that was incorrect. Have a beautiful rest of your day. Stay safe. C O V I D - 1 9 IS REAL THIS COULD MEAN YOUR LIFE!!!

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Answer:

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Step-by step

I will give u a thank you

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Step-by-step explanation:

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Question 18 of 25
If f) =3*+ 10 and glx) = 2x- 4, find (f+ 9)().
OA. (f+ )() = 5x +6
OB. (f+ g)() = 3*+ 2x+ 6
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O D. (f+ 9)() =-3*- 2x-14
SUBN

Answers

Answer:

C. (f+ 9)() = 3r- 2x+ 14

Step-by-step explanation:

Holly needs to buy some cloth. The following deals are available at various stores. Choose the best deal.

$16.52 per 6 yd
$13.85 per 5 yd

a
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b
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c
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Answer:

It's A

Step-by-step explanation:

hope the pic helps b/c you deleted my last answer so i hope this is more of use to you :)

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Answer:

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Step-by-step explanation:

I’ll mark you brainlist

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C=5

Step-by-step explanation:

23+(-3)=20

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Answer:

c=5

Step-by-step explanation:

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Answers

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(3x + 2)(x - 1)​

Answers

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Answers

Answer:

Enlargment

Step-by-step explanation:

please help me with the question

Answers

Answer:

D. If you go through all the equations they all come out true beside this one. With this one Alisha pays $1,480 which is less than $1,500

Jerry eats 3 pickles in 2 minutes. How many pickles will he eat in 10 minutes?
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Reevis answers 18 math questions correct and scored a 75%. How many total questions are on the quiz?
DO
Aj fights 16 clowns in the streets in 12 minutes. How many will he have fought after 18 minutes?

Answers

1) Jerry will eat 15 pickles in 10 minutes.
2) Terrance made 20% of his free-throws.
3) Lamont will get 48 boogers in 20 minutes.
4) There are 24 total questions on the quiz.
5) Aj will have fought 24 clowns after 18 minutes.

Answer:

Jerry will eat 15 pickles in 10 minTerrance made 20% of his free throwsLamont will get 48 boogers in 20 minutesthere are 24 questions on the quizAn will have fought 24 clowns after 18 minutes

Hope this helps youMark my answer as brainalist please

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Answers

Answer:

(y2 - y1)/(x2-x1)

Step-by-step explanation:

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Evaluate (27)-2
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Express your answer as a fraction in simplest form.
The solution is

Answers

Note: The expression you have written sounds a little unclear, but I am assuming your expression is (27)-2-2/3.

So, I am solving the question based on assuming the expression as (27)-2-2/3, which would still clear your concept.

Answer:

The expression in the simplest form is:

[tex]\left(27\right)-2-\frac{2}{3}=\frac{73}{3}[/tex]

Step-by-step explanation:

Given the expression

[tex]\left(27\right)-2-\frac{2}{3}[/tex]

simplifying the expression in the simplest form

[tex]\left(27\right)-2-\frac{2}{3}[/tex]

[tex]=25-\frac{2}{3}[/tex]

[tex]=\frac{25\cdot \:3-2}{3}[/tex]

[tex]=\frac{73}{3}[/tex]

Thus, the expression in the simplest form is:

[tex]\left(27\right)-2-\frac{2}{3}=\frac{73}{3}[/tex]

help please !

-3 + x/3 = 15

What is x?

Answers

Answer:

x = 54

Step-by-step explanation:

Simplify both sides of the equation. Add 3 to both sides.Multiply both sides by 3.

Answer:

x = 5

the correct answer is perpendicular I have not received

yes is 54 the correct answer

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