20 points! o(* ̄▽ ̄*)\
Write a linear equation in slope-intercept form to represent the data shown in this table.
Bicycle Rental Costs
Time, x(hours) Total cost, y(dollars)
1 $8
2 $16
3 $24

Show your work.

Answers

Answer 1

Answer:

[tex]\displaystyle y=8x[/tex]

Step-by-step explanation:

We are given a table and we want to determine a linear equation (in slope-intercept form) that represents this table.

So, we will first need to determine the slope. We can use the slope formula:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Where (x₁, y₁) and (x₂, y₂) are two points.

We have three points: (1, 8), (2, 16), and (3, 24).

Let’s pick two. We can use (1, 8) and (2, 16).

So, let (1, 8) be (x₁, y₁) and let (2, 16) be (x₂, y₂). Substitute appropriately:

[tex]\displaystyle m=\frac{16-8}{2-1}[/tex]

Evaluate:

[tex]\displaystyle m=\frac{8}{1}=8[/tex]

So, our slope is 8.

Now, we can determine the equation using point-slope form:

[tex]\displaystyle y-y_1=m(x-x_1)[/tex]

Where m is our slope and (x₁, y₁) is a point.

We know that the slope is 8, so we will substitute 8 for m.

We can use any of our three points for the point. Let’s use (1, 8) for consistency. So, let (1, 8) be (x₁, y₁). Substitute appropriately:

[tex]\displaystyle y-8=8(x-1)[/tex]

Solve for y. Distribute the right:

[tex]\displaystyle y-8=8x-8[/tex]

Add 8 to both sides:

[tex]\displaystyle y=8x[/tex]

And we have our equation.

Notice that this is a direct variation or proportional equation as we don’t have a y-intercept.

Answer 2
Answer:I believe its y=8x or y=8

Related Questions

PLS HELP ME!!! 10 POINTS FOR THE EXPLAINTION. The question is below:
The largest sandwich ever made weighed 5,440 pounds. If a regular sandwich weighs approximately a half pound, what fraction of a regular sandwich do you get?

Answers

Answer:

1/2

Step-by-step explanation:

You would have 1/2 pounds of the regular sandwich

(Please read the question carefully) Answer is not B

Rogelio sold a 1/3-page ad to client A, a 3/4-page ad to client B, and a 1/8-page ad to client C. Rogelio says he sold about 1 1/2 pages of ads. Is he right? (EXPLAIN.)

Answers

The correct answer would be no. He is incorrect.
If you add all the fractions you would get, 29/24 which is not equal to 1 1/2.

i need help with this one asap :{

Answers

It’s c hope it helps

Given f(x)=2^x and g(x)= f(x-3)+4, write the new function rule (equation) for function g and describe (using words) the two transformations that occur between the function f and the function g

*Some good words to consider using would include horizontal, vertical, stretch, compression,
translation, reflection, and phrases such as “to the left”, “to the right”, “up”, “down”, “by a
factor of__, or ”over the __ axis”.

Answers

Answer:

Just like Transformations in Geometry, we can move and resize the graphs of functions. Let us start with a function, in this case it is f(x) = x2, but it could be anything: ... g(x) = x2 + C. Note: to move the ... If you change that to (age+4) = 25 then you will get it when you are 21. Adding 4 ... Example: the function v(x) = x3 - x2 + 4x.

Step-by-step explanation:

The graph of the function y = 2x⁴ - 5x³ + x² - 2x + 4 is plotted and attached.

What is a polynomial?

Polynomial is an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s). For example -

y = 4x⁴ + 3x³ + 2x² + 6x + 7

We have the following polynomial functions -

f(x) = 2ˣ

g(x) = f(x - 3) + 4

We can write g(x) as -

g(x) = 2ˣ ⁻ ³ + 4 = (2ˣ/2³) + 4

g(x) = (2ˣ/8) + 4

The graph of f(x) is stretched by the factor of 1/8 and is shifted 4 units upwards.

Therefore, the graph of f(x) is stretched by the factor of 1/8 and is shifted 4 units upwards to given the function g(x)

To solve more questions on polynomials, visit the link below-

https://brainly.com/question/22017354?referrer=searchResults

#SPJ2

70 POINTS!!! Marta tried solve the system below, but she made a mistake. Read carefully and try to figure out what her mistake was.

Finding Mistakes in a Solution
What was Marta’s mistake? Explain.
will give brainliest

Answers

Answer:

she forgot the first part

Also: sorry if its wrong I'm not the best at math

Answer:

The answer is 0

Step-by-step explanation:

Please help I need to get a good grade on this!

Answers

The correct answer is 1.5

PLZ HELP
What is the y-intercept of the table shown?

2

0.4

1

0

Which one?

Answers

I think it is 0.4 I think this because 0.4 is right below 1.4 Hope this helps! =D                                                                                                                    

Answer: 1

Step-by-step explanation

1. y is the slope so 1 is the intercept y=1x+0.4

x / y

-------

0      1

2    1.4

4    1.8

6    2.2

Try to dived  [tex]\frac{2}{1.4} -\frac{4}{1.8}[/tex]

Sanjay solved the equation below. Which property did he use to determine that 7 x + 42 = 42 is equivalent to 7 x = 0?

7 (x + 6) = 42. 7 x + 42 + 42. 7 x = 0. x = 0.
distributive property of equality
subtraction property of equality
multiplication property of equality
division property of equality

Answers

Answer:

subtraction property of equality

Step-by-step explanation:

Answer:

its B. subtraction property of equality

Step-by-step explanation:

i did it on edge

what is the function of
{(-6,4), (5,-1), (0,3), (-2,4)}

Answers

Answer:

The inverse of f (x) = {(3,2), (5,4), (6,-2), (-5,1)} (function)

1.Amit buys a pair of jeans for $33. He must pay 7% sales tax. He gives the cashier $40. How much change does he receive back?
2. Harold buys a backpack that costs $24.80. It is on sale for 25% off. Harold also has a coupon for an additional 10% off the lowest price. What is the final price of the
backpack (not including tax)?
3. Sarah buys a book for her music lessons that cost $24. It is on sale for 15% off, and she must pay 5% sales tax. What is the final price of the book?
4. Erik buys carrots and dip for a class snack. The carrots are $3.80, and the dip is $2.60. Erik has a coupon for 5% off his groceries. He does not need to pay tax. He gives the cashier $20. How much change does he receive back?
5. Liam buys a new TV that cost $360. The TV is on sale for 40% off, and the store is offering an additional 20% off all sale items. How much does Liam save on the TV?

Answers

Answer: The answer is $200

Step-by-step explanation:

Answer:

$200

Step-by-step explanation:

i took the test and got an a

Please answer C: <3!

Answers

Answer:

B. subtract 8

Step-by-step explanation:

because in PEMDAS subtract is last

The correct answer would be B because in pemdas the order goes parentheses, exponents, multiply, divide, add, and subtract so - 8 would be the correct answer PLEASE GIVE ME BRAINLIEST

On a coordinate plane, a line goes through points (negative 2, 4) and (0, negative 4). Linear functions are expressed by the graph and equation. Select all that apply. The slope is positive for both functions. The equation has a steeper slope than the line in the graph. The y-intercept is the same for both. The graph and the equation express an equivalent function.

Answers

Answer:

C and D

Step-by-step explanation:

The y-intercept is the same for both.

The graph and the equation express an equivalent function.

Answer:

c and d

Step-by-step explanation:

edge 2020

Sarah thinks that the
following expressions are
equivalent:
2x + 3 = x/2+ 3/4
Is she right? If so, prove
that these two expressions
are equivalent. If not, what
error(s) did she make?

Answers

No they are not correct, 3/4 is not equal to 3
No Sarah is not correct. If you replace x with 1, the first equation would equal 5, but the second equation would equal 1. In addition, when she tried to do the inverse operation, she did the inverse operation on the factors, not the operation.

Jamie believes that applying a scale factor of 1 would result in an enlargement. Do you agree or disagree with her claim? Explain.

Answers

Answer:

If the scale factor is 1, the figure and the image are congruent.

Step-by-step explanation:

If the scale factor is less then one, then it would be a reduction, but if the scale factor is greater then one, it would be an enlargement.

Write a proportion that could be used to solve for each variable.
Then solve.
24 buttons in 4 packages

Answers

Answer:

6 buttons per package

Step-by-step explanation:

6 x 4=24

How many solutions does this equation have?

4m = 5 + 9m

Answers

Answer:

M=1

Step-by-step explanation:

-5M=5

M=1

The graph shows the amount of water that remains in a barrel after it begins to leak. The variable x represents the number of days that have passed since the barrel was filled, and y represents the number of gallons of water that remain in the barrel. What does the y-intercept represent?
A. the amount of water that is added to the barrel each day
B. the amount of water that remains in the water barrel
C. the amount of water that is initially in the water barrel
D. the amount that the water barrel decreases each day

Answers

Answer:

I am pretty sure it is D

Step-by-step explanation:

I’m sure the answer is D

Can yall give me 4 examples of rules of exponents with answers pls?

Answers

Answer and Step-by-step explanation:

When multiplying two numbers (or variables) of the same exponent, the solution would have the exponents adding each other:

[tex]a^{x} * a^{y} = a^{x+y}[/tex]

When dividing two numbers (or variables) of the same exponent, the solution would have the exponents subtracting each other:

[tex]a^{x} / a^{y} = a^{x-y}[/tex]

When a number with an exponent is being raised to an exponent, the solution would have the exponents multiplying each other:

[tex](a^{x)^{y} } = a^{xy}[/tex]

When there are two variables in parentheses and an exponent on the outside, the exponent will power both variables:

[tex](ab)^{x} = a^{x} b^{x}[/tex]

Answer:

Product of powers rule. ...

Quotient of powers rule. ...

Power of a power rule. ...

Power of a product rule. ...

Power of a quotient rule. ...

Zero power rule. ...

Negative exponent rule.

Line and angle relationships

Answers

Answer:

hmmnsjsuehdhyeenfhdidudhfksiw9qkq

Look at the picture and answer the question correctly.

Answers

Answer: This would be written in scientific notation which would be            5 x 10 ^ 4.

Please help!! I would really appreciate it.

Answers

Answer:

Bob cycled faster and the unit rate for Sam is 9mph

Step-by-step explanation:

Explanation - Bobby cycles 10 miles and hour/Sam cycles 9 miles an hours

Answer - Bobby cycles faster and the unit rate for Sam is 9/1 or 9 over 1

Please answer C: <3!

Answers

(5x6+2x3)/(3x2x3)= answer is 2
For d the answer is 4

Point E {0,-2} is a vertex of square DEFG. After a 90 clockwise rotation of the square about the origin, which of th following is the location of E,

Answers

Answer:

{0,2}

Step-by-step explanation:

(2,0) here is the answer

Can somebody help with number 1

Answers

Answer:

A.4:00

B.1-2 p.m.

C. ii iii

Step-by-step explanation:

HELP PLEASE!! I WILL TRY AND GIVE BRAINLEIST TO THE MOST DETAILED ANSWER ON BOTH. INCOMPLETE ANSWERS WONT BE GIVEN BRAINLEIST. ALSO, DON'T USE GOOGLE. PLEASE! I'M IN NEED OF HELP.

Answers

Answer:

100 x 38

Step-by-step explanation:

100

x 38

-------

3800 <------ Is the product. It is bshown  lby...

The left side

Has been shaded green with 46 blocks.

The red is the same thing with 46 blocks.

The blue has eight blue blocks from the second side.

The second side:

This show's about 38 shaded blue blocks.

The white side doesn't.

I hope this helps! My brother helped me figure out this also.

5. SLOPE need help like, ASAP, tysm

Answers

Answer:

Since it's a horizontal line the slope would be 0

Step-by-step explanation:

Horizontal Lines A horizontal line is a line whose equation is of the form =, where is a real number. All points that lie on the line have a -coordinate of . The slope of any horizontal line is zero, 0.

Use random numbers of balloons and sandbags

Answers

I’m not exactly sure but a possible answer might be 8 + (-8) = 0

The positive 8 stands for balloons and the -8 stands for sandbags.

Help! please!! (Math)

Answers

27,375 because 300/4 = 75 x 365 = 27,375
I think it’s 12. Hope it helped.

LEIM deposits some money in an account which pays 5% simple interest per year, and twice that amount in an account paying 4% simple interest per year. If he collects $533.00 in interest after one year, how much did he deposit in the account that has a 5% rate?

Answers

Answer:

266.5

Step-by-step explanation:

$533.00* 5%=266.5

The answer is 266.5 hope this helps

can u help please. thank you

Answers

Answer: the answer would be - 8/9

i used a calculator, so its correct.

Step-by-step explanation:

Answer:

negative one half D

Step-by-step explanation:

Multiply - two thirds x six eightths 6x2=12 you can multiply straight acroos because it is multiplycation. Now you do 8x3= 24 half of 12 is 24 so 12 over 24    simplifying is just dividing.  but if you look closer their is a negative sign so  what ever fraction is biger you go with their sign so your offical awnser  is negative one half

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