Linear Equation Interpret

The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (C) of a service for m miles of towing.

• y = 8x + 50

• C = 50m +8

• y = 50x + 8

• C = 8m + 50

Tags

CCSS.6.EE.C.9

Which of the following situations could be descried by the equation y= -25x + 120

• There are 120 people in the football stadium, and 25 more are entering each hour.

• A plumber charges $25 for a house call and $120 per hour.

• A teacher has 120 students. Her third period has 25 students

• There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute

Bob has $150 in his savings account and saves $40 per month.

• y=150 + 40

• y=40x + 150

• y=150x + 40

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

A cell phone company charges $60.00 a month for up to 1 gigabyte of data. The cost of additional data is $0.05 per megabyte. If d represents the number of additional megabytes used and c represents the total charges at the end of the month, which linear equation can be used to determine a user's monthly bill?

• c = 60 − 0.05d

• c = 60.05d

• c = 60d − 0.05

• c = 60 + 0.05d

Alex is selling tickets to a school play. An adult ticket costs $6.50 and a student ticket costs $4.00. Alex sells x adult tickets and 12 student tickets. Write an equation, C, to represent how much money Alex collected from selling tickets.

• C= $6.50x + $4.00(12)

• C= $6.50(12) +$4.00x

• C=$6.50x+$4.00x +12

• C=$10.50x+12

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Peyton is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. The total cost of the gym membership, C, over t months whose graph is shown below. Write an equation for C in terms of t. (hint: use y=mx+b)

• C=40t+150

• C=-40t+150

• C=50t+150

• C=50t-150

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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

Tags

CCSS.HSF.LE.B.5

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

Tags

CCSS.HSF.LE.B.5

At the beginning of spring, Lauren planted a small sunflower in her backyard. The sunflower's height in inches, h, after w weeks, is given by the equation h=9+3w. What could the number 9 represent in the equation?

• The sunflower's height when it was planted

• The sunflower's final height

• The rate of change in the sunflower's height

• The sunflower's height after one week

Tags

CCSS.HSF.LE.B.5

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

Tags

CCSS.HSF.LE.B.5