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.

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.

Can somebody help with number 1

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.

5. SLOPE need help like, ASAP, tysm

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,

(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.)

Help! please!! (Math)

Please answer C: <3!

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

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?

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”.

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

Line and angle relationships

How many solutions does this equation have?

4m = 5 + 9m

can u help please. thank you

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?

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?

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

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

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

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

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.

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

2

0.4

1

0

Which one?
​

Please help!! I would really appreciate it.

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?

i need help with this one asap :{

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

Please answer C: <3!

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

Use random numbers of balloons and sandbags

Look at the picture and answer the question correctly.