Interpret Linear Equations in Context

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

Starting at noon, Emily observed the amount of snow on her lawn during a blizzard. She wrote an equation to represent s, how many inches of snow were on the lawn: s=0.024x+7, where x represents the number of minutes past noon. What could the number 0.024 represent in the equation?

• The amount of snow on the lawn at 12:01 pm

• The amount of snow on the lawn at noon

• How much more snow is added to the lawn every minute

• The total amount of snow

Tags

CCSS.HSF.LE.B.5

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

Tags

CCSS.HSF.LE.B.5

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

Joseph is driving on a long road trip. He wrote an equation to represent how many gallons of gas he has left in his tank, g=7-0.4h, where g represents the number of gallons and h represents time in hours. What is the meaning of the g-value when h=1?

• How long it takes Joseph to run out of gas

• The number of gallons of gas at the time h=0

• The number of gallons in the tank after one hour

• The number of gallons in the tank when the trip ends

Tags

CCSS.HSF.LE.B.5

There's a roughly linear relationship between the length of someone's femur (the long leg-bone in your thigh) and their expected height. Within a certain population, this relationship can be expressed using the formula h=63.4+2.41f, where h represents the expected height in centimeters and f represents the length of the femur in centimeters. What is the meaning of the f-value when h=123?

• The femur length for someone with an expected height of 24.7 centimeters

• The change in expected height for every one additoinal centimeter of femur length

• The femur length for someone with an expected height of 123 centimeters

• The expected height for someone with a femur length of 123 centimeters

Tags

CCSS.HSF.LE.B.5

Nathaniel is taking a multiple choice test. His grade is given by the equation y=105−3x, where y represents his final score and x represents the number of questions he got wrong. What is the meaning of the y-value when x=1?

• The score he would get if he only missed one question

• The number of problems on the test

• His score with 0 problems wrong

• The points he loses for every wrong question

Tags

CCSS.HSF.LE.B.5

Adam is taking a multiple choice test. His grade is given by the equation y=200−4x, where y represents his final score and x represents the number of questions he got wrong. What could the number 4 represent in the equation?

• His score with 0 problems wrong

• The points he loses for each wrong question

• The score he would get if he only missed one question

• The number of problems on the test

Tags

CCSS.HSF.LE.B.5