The graph shows the membership of a student group: x represents the number of years since the group was formed and y represents the number of members.


The equation is y = 14x + 10.


Which is true regarding the slope?

Membership grows by 14 each year.

The group was formed with 14 members.

Membership is recorded every 14 years.

Answers

Answer 1
The answer is : membership grows by 14 each year because 14x is the slope which means you go up 14 over 1 on a graph so it increases by 14 every year.
Answer 2

Answer:

we conclude that Membership grows by 14 each year.

Step-by-step explanation:

Given the equation

[tex]y=14x+10[/tex]

Comparing the equation with the slope-intercept form

[tex]y=mx+b[/tex]

Here, m is the slope and b is the y-intercept.

From the equation, we can determine the slope

[tex]y=14x+10[/tex]

[tex]m=14[/tex]         ∵  [tex]y=mx+b[/tex]

Hence, the slope is m=16.

We know that the slope is referred to as the 'rate of change'.

For example, if you have a part-time job at a store. You save for her tour at a rate of $20 every week. It means, your rate of change will be $20 per week.

So given the equation

[tex]y=14x+10[/tex]

m = rate of change = slope = 24

The slope is basically a vertical change divided by the horizontal change.

Therefore, we conclude that Membership grows by 14 each year.


Related Questions

What is the solution to the equation?

2(x + 7)2/3 = 8
A. -15 and 1
B. -15
C. 1
D. no solution

Answers

No solution (D)
Answer = -1

Answer:

-1 option D (no solution)

Step-by-step explanation:

2(x + 7)2/3 = 8

2(X+7)2/3=8

4(X+7)=24

4x+28=24

4x=24-28

4x=-4

X=-4/4

X=-1

So the answer is -1

The length of a rectangle is 10 more than 10 twice the width , if the perimeter is 80inches find the length the width

Answers

Answer:

The width is 10 inches

The length is 30 inches

Step-by-step explanation:

Perimeter of a Rectangle

The perimeter of a rectangle of length L and width W is calculated as follows:

P = 2L + 2W

It's given the length of a rectangle is 10 more than twice the width:

L = 2W + 10

Substituting into the formula of the perimeter:

P = 2(2W + 10) + 2W

Operating:

P = 4W + 20 + 2W

P = 6W + 20

It's given this perimeter is 80 inches, thus

6W + 20 = 80

Subtracting 20:

6W = 80 - 20 = 60

Dividing by 6:

W = 60 /6 = 10

Since :

L = 2W + 10

L = 2*10 + 10

L = 30

The width is 10 inches

The length is 30 inches

(Please help!!) Arnold is paid a graduated commission on sales. He earns 7% on sales up to $10,000 and 10% on sales over that amount. His goal is to make $2,500 next month. How much will he need to sell?

Answers

Answer:

Step-by-step explanation:

10000*7%= $700.00

2500-700=1800

1800 is 10% of 18,000

So 18,000 +10,000 = 28,000 in sales is needed to get $2,500 in commission.

Factorise fully : 12x-8
please help :(

Answers

Answer:

-96 :)

Step-by-step explanation:

12 x (-8) = -96

if there is one negative in the problem the answer will be negative.

Answer: 4(3x-2)
12x-8
=4(3x-2)

Points c (-5,8) and d (2,5) lie in line cd, if points c and d are created by translating points c and d left 6 units, what is the slope of line c’

Answers

Answer:

Step-by-step explanation:

Remark

Moving 6 points left is not going to alter the slope (or it shouldn't).

The x value has to have 6 subtracted from it. Leave the y value alone.

Givens

C: (-5-6,8) = (- 11,8)

D: (2-6,5) =  (-4,5)

Formula

m = (y2 - y1)/(x2 - x1)

Solution

m = (8 - 5)/(-11 - - 4)

m = 3 / - 7

m = - 0.429

Check

Let's find the slope of the original points.

(8 -5)/(-5 - 2) = 3/-7 which is the same thing.

HELP ASAP The number of hours you study for an exam affects your grade. What is a reasonable value of the range?
A) 75
B) 1.25
C) -30
D) 1/2

Answers

Answer
B I could be wrong
Explanation

someone help simplify it

Answers

Answer:

a+11b/3

Step-by-step explanation:

Answer:

3 and 2/3b + 1a

Step-by-step explanation:

Simplifying b:

4b - 1/3b = 11/3b = 3 and 2/3b

Simplifying a:

-5a + 6a = 1a

Denis orders a large pizza for $16.50 plus $2 for each topping. Sheng orders a medium pizza for $13.25 plus $2 for each topping.

Answers

Their bills will never be the same because the toppings cost the same.

Question must probably wants to know the number of toppings it would take for their bills to be equal.

Assume the number of toppings is x, Dennis's bill will be:

= Cost of Pizza + Cost of toppings x number of toppings

= 16.50 + 2x

Sheng's bill will be:

= 13.25 + 2x

Equate their bills to find the number of toppings that would equate their costs:

16.50 + 2x = 13.25 + 2x

16.50 - 13.25 ≠ 2x - 2x

3.25 ≠ 0

In conclusion, their bill will never be the same because the toppings are the same price.

Find out more at https://brainly.com/question/5607279.

A population of kangaroos is growing at a rate of 2% per year, compounded continuously. If the rate continues, how many years will it take of the population to reach 150% of its current size according to the exponential growth function?

Answers

Answer:

75 years.

Step-by-step explanation:

Divide 150 by 2, that gives you the years.

Multiply. Answer with a mixed number in simplest form

2 1/5 x 3 4/7

Answers

Answer:

7.85714285714

Explanation:

hrnvkdkdjcnvnskdkxjcnfkdldjgnvnfkdk

Write the following fractions in order of size
1/3
3/4
1/4
7/12
1/2
Start with the smallest fraction.​

Answers

Ans wer 7/12 3/4 1/3 1/2

Step-by-step explanation:

2. A set of barbells consist of red and blue discs. Discs with the same color have the same mass. Using a balance,
Lia found that 7 blue discs balance 1 red disc and a 5kg mass, while 2 blue discs and a red disc balance a 4kg
mass. Find the masses of the red and blue discs. (2kg, 1kg)

Answers

Let r be the mass of a red disc and b the mass of a blue disc.

7 blues have the same mass as 1 red along with a 5 kg mass, so

7b = r + 5

7b - r = 5

2 blues and 1 red have the same mass as a 4 kg mass, so

2b + r = 4

Solve for b and r . Notice that adding the equations together eliminates r :

(7b - r) + (2b + r) = 5 + 4

9b = 9

b = 1

Then

7 • 1 - r = 5

r = 7 - 5

r = 2

So each red disc has a mass of 2 kg, and each blue disc has a mass of 1 kg.

HELPPPP PLEASE!!!!!!

Answers

Answer:

y = 20

Step-by-step explanation:

line RPN = 180 = 4y - 10 + 90 + y

180 - 90 + 10= 5y

100 = 5y

y = 100/5

y = 20

HELP ME OUT PLS AND TY

Answers

Answer:

No, the line does not pass (0,0).

No, the line does not pass (0,0)

Brainliest Appreciated!

Answer:

NoNo

I hope this helps!

-3y-2=7 what is the value of y

Answers

Answer:

y = -3

Step-by-step explanation:

Add 2 to each side to isolate the -3y. Doing this leaves you with -3y=9. You then divide each side leaving you with y = -3

Answer:

The equation has one solution at which y = -3.

Step-by-step explanation:

To find the value of y, we need to isolate it from the rest of the equation.

Add 2 to both sides of the equation.Divide by -3 on both sides of the equation.Simplify the equation if necessary.

[tex]\displaystyle{-3y-2=7}\\\\-3y = 9\\\\\bold{y = -3}[/tex]

We can check to make sure that y = -3 by substitution.

[tex]\displaystyle{-3(-3)-2 = 7}\\\\9-2=7\\\\7= 7 \ \checkmark[/tex]

Because we got a true statement, we can determine that y = -3.

Select three ratios that are equivalent to 16: 12.
Choose 3 answers:
A
8:6

32:24
4:3
12:8
(E
24:16

Answers

Answer:

Step-by-step explanation:

16 : 12 = 4: 3

The answer is B

Anwser:

Step by step explanation: 8:6

32:24

The graph of the function B is shown below. If B(x) = -1, then what is x?
1
2
-1

Answers

Answer:

x = 2

Step-by-step explanation:

B(x) = - 1 means what is the value of x for y = - 1

This is the dot positioned at (2, - 1 )

with x = 2

Answer: its the first one

Step-by-step explanation:

hope thats what your lookinf for

7. The graph of a polynomial function is shown.

a. Is the degree of the polynomial odd or even? Explain how you know.

b. What is the constant term of the polynomial?

Answers

9514 1404 393

Answer:

even-4

Step-by-step explanation:

When the end behavior is the same sign on the left and the right, the degree is even. This polynomial is of even degree.

The y-intercept is the constant term: -4. (All the other terms are zero when x=0.)

How do I solve this please?

Answers

Answer:

given us,

n=4

here

3^-n+1-3^-n+2

3^-4+1-3^-4+2

-4+1-4+2

-5

Step-by-step explanation:

we can put value in n .we can power add and subtract then we can cut 3 then power we can add or subtract

1/2 of the sum of a number and 10

Answers

Answer:

1/2(x+10)

Step-by-step explanation:

PLEASE HELP ASAP I WILL BRAINLIEST

Answers

Answer:

32 minutes and 30 seconds.

Step-by-step explanation:

3 hours = 180 minutes, plus 15 added = 195 so 195 ÷ 6 = 32.5 or 32 mins and 30 seconds

Answer:

32.5 minutes

Step-by-step explanation

60x4-45/6

Graph a scatter plot using the given data.

Answers

Answer:

Here is the answer.

Step-by-step explanation:

what is the simplified form of the fraction 7/28

Answers

Answer:

1/4

Step-by-step explanation:

7 divided by 24 = 4 so it gets reduced to 1 and then 1/4

The solution is: 1/4  is the simplified form of the fraction 7/28.

Here, we have,

given that,

the fraction is: 7/28

now, we divide each fraction numerator and denominator by a common divisor of them,

here, we know that,

7 * 1 = 7

7*4 = 28

so, the gcf of 7 and 28 = 7

we divide each fraction numerator and denominator by a common divisor 7,

we will get:

7/28 = 1/4

7 divided by 28 = 4 so it gets reduced to 1 and then 1/4.

Hence, The solution is: 1/4  is the simplified form of the fraction 7/28.

To learn more on fraction click:

brainly.com/question/10354322

#SPJ6

5. Which number is irrational? 3 (1) V16 (2) V12 (3) (4) 0.50

Answers

Answer:

(3)√12

Step-by-step explanation:

The other numbers are not continuous

Convert the equation below into slope intercept form:
y-4= -2(x+1)

Answers

Answer:

y = -2x + 2

Step-by-step explanation:

Simplify

y-4 = -2(x+1)

y - 4 = -2x - 2

add 4 to both sides

y = -2x +2

Answer:

y = -2x + 2

Step by step:

Can someone help me!

Honeydew melons are on sale at four different grocery stores. Which store
offers the lowest unit rate for honeydew melons, in dollars per pound?
$3.50
Happy Grocery:
7 pounds
.
sto
• Sullivan's:
5 pound
• Mother Nature:
$4.00
10 pounds
• Farmer's Pride: $0.45/pound

Answers

Answer:

Mother Nature

Step-by-step explanation:

Do you want one? Prolly will waste my time sorry :(

Answer:I would think c but let me check

Step-by-step explanation:

Help Really quick
The table shows data collected from 14 people.

Shoe Size, x 8.5 9 9 9.5 10 10 10.5 10.5 11 11 11 12 12 12.5
Height (inches), y 66 68.5 67.5 70 70 72 71.5 70 71 71.5 73 73.5 74 74
Determine the correlation coefficient for the data. Round to the nearest hundredth.

r=

Answers

Answer:

i need the answer ;(

Step-by-step explanation:

Maddox is stacking cans to make a display at the grocery store. The bottom row of the stack has 20 cans. Each row has 4 fewer cans than the row below it until there are no cans left.

How many rows of cans are in Maddox’s stack

Answers

Answer: 5

Step-by-step explanation:

Simplify to create an equivalent expression. 617 - 3y) + 6(y + 1)​

Answers

You have to simplify

Answer:

623+3y

Step-by-step explanation:

You distribute the 6 then you add the ys and the numbers together

What is the range of the function graphed below?

Answers

The range is all possible y values. In this function, range is from -3 < y
* the
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