Interpret Equations

To start her collection of comic books, Joylin's uncle gives Joylin a box of comic books and several monthly subscriptions to comic books. The number of comic books in ther collection, y, after x months is modeled by the equation shown

y = 40 + 6x

What does the number 40 represent in this equation?

• the price of a comic book subscription

• the number of months of Joylin's subscriptions

• the number of comic books in the box she received

• the number of title subscriptions Joylin received each month

Lucas is filling a swimming pool with water. The volume of water, in gallons, can be modeled by the equation V = 10h + 50, where h is the number of hours the water has been running. How many gallons of water were already in the pool?

Alice is baking cookies to add to a bake sale. The total number of cookies she bakes can be modeled by the equation c = 12b + 24, where b is the number of batches she bakes.

How many cookies does she bake per batch?

The graph shows the number of homework problems Amanda has remaining based on the number of minutes she has been working. Which of the following statements is NOT true?

• Amanda has started with 30 homework questions.

• Amanda finishes 2 homework questions every 3 minutes.

• The graph shows the linear equation y=-3/2x+30.

• Amanda finishes 3 homework questions every 2 minutes.

What does the ordered pair (7, 440) represent in the graph?

• After 7 hours, the total cost would be $440.

• The slope is 7/440.

• The equation of the line is y=7x+440.

• For every 440 hours of work, it costs $7.

Elyse has a gift card to a local movie theater. The graph shows the amount of money remaining on her gift card based on the number of movies she has seen. In the box below, type your answer to the 2 steps.
Step 1: Write the equation of the line that represents the situation.
Step 2: Interpret the slope and y-intercept in the context of the situation. (What does the slope stand for? What does the y-intercept stand for?)

Evaluate responses using AI:

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What is the slope in the equation y=2x + 3?

• 2

• 3

• 5

• Cannot be Determined 

What is the meaning of the y-intercept of this graph?

• when the gas take is empty

• starting amount of gas

• rate at which the gas take empties

• the starting mileage

In the equation y=mx+b, what does the m represent?

• slope

• y-intercept

• linear

• point-slope

Write the equation of the line.

• y = -2/3x + 4

• y = 2/3x + 4

• y = 3/2x + 4

• y = -3/2x + 4