Interpret Linear Equations in Context

Kylie is ordering a taxi from an online taxi service. She has to pay a flat charge just to order the taxi, and then has to pay per mile, depending on how far she travels. She wrote an equation to represent her total cost, y=3.5+2.3x, where y represents the total cost in dollars and cents, and x represents the number of miles she travels. What could the number 3.5 represent in the equation?

• How much the taxi costs per mile

• Total charge for one mile

• The flat charge to order the taxi

• How far Kylie can ride for $1

Jocelyn is going to the amusement park, where she has to pay a set price of admission and another price for tickets to go on each of the rides. The total amount of money Jocelyn will spend is given by the equation y=3.5x+28, where y represents the total amount of money, in dollars and cents, and x represents the number of rides Jocelyn goes on. What could the number 28 represent in the equation?

• The total amount Jocelyn will spend if she goes on 1 ride

• The change in total amount of money for each additional ride she goes on

• The total amount Jocelyn will spend if she goes on 100 rides

• The cost to get into the amusement park

Anthony's math teacher finds that there's roughly a linear relationship between the amount of time students spend on their homework and their weekly quiz scores. This relationship can be represented by the equation y=57+6.3x, where y represents the expected quiz score and x represents hours spent on homework that week. What is the meaning of the x-value when y=99?

• A student's expected quiz score if they spend 1 hour on their homework

• A student's expected quiz score if they spend 99 hours on their homework

• How many hours a student spends studying all year

• The number of hours a student should spend on their homework to expect a score of 99 on the quiz

An elevator travels down from the top floor of a skyscraper. Its height, in feet, is given by the equation h=800-8t, where h represents the elevator's height, in feet, and t represents the time, in seconds. What could the number 8 represent in the equation?

• How quickly the elevator decends, in feet per minute

• The height the elevator stars at

• The elevator's final height

• The elevator's height after one second

• F

• G

• H

• J

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 showny = 40 + 6xWhat 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

Part A: ​ (a)   Part B: ​ (b)  

• A

• D

• B

• C

A film crew follows employees in an office around for a day. The crew has already captured several hours worth of footage of the employees at work. The crew spends more time recording one-on-one interviews with each of the employees getting their take on the day. The equation m=15p+180 represents the length of minutes, m, of footage the crew has captured after they interview p employees. The coordinate (8, 300) corresponds with the film crew once they've finished filming for the day.

Match each number to the answer that BEST describes it.

• How many minutes of footage the crew filmed once all interviews were conducted

• 8

• How many employees were interviewed

• 15

• How many minutes each employee is interviewed for

• 300

• How many minutes of footage the crew filmed before interviews

• 180

Match the following. Determine if the statements below correctly describe the equation, 20 + 12x = 240.

• no

• Isaiah is saving $12 per week from his allowance. After 20 weeks, Isaiah has $240.

• yes

• Joanie earns $12 per hour, plus a $20 bonus for completing the training program. This week Joanie earned $240.

• no

• Felix exercises by spending 12 minutes warming up and then running for 20 minutes. He has exercised a total of 240 minutes this month.

Match the following. Determine if the statements below correctly describe the equation, 20 + 12x = 240.

• no

• Isaiah is saving $12 per week from his allowance. After 20 weeks, Isaiah has $240.

• no

• Felix exercises by spending 12 minutes warming up and then running for 20 minutes. He has exercised a total of 240 minutes this month.

• yes

• Joanie earns $12 per hour, plus a $20 bonus for completing the training program. This week Joanie earned $240.