Interpret Linear

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

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

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

Printer ink costs $16.89 per cartridge. The company that sells the ink cartridges charges a flat rate shipping fee of $4.25, no matter the number of cartridges purchased in a single order. 

 

Which linear function models the total cost, t, for a single order of c cartridges?

• c = 21.14t

• c = 16.89t + 4.25

• t = 21.14c

• t = 16.89c +4.25

Printer ink costs $18.99 per cartridge. The company that sells the ink cartridges charges a flat rate shipping fee of $7.95, no matter the number of cartridges purchased in a single order. Which linear function models the total cost, t, for a single order of c cartridges?

• c = 26.94t

• c = 18.99t + 7.95

• t = 26.94c

• t = 18.99c + 7.95

Printer ink costs $16.89 per cartridge. The company that sells the ink cartridges charges a flat rate shipping fee of $4.25, no matter the number of cartridges purchased in a single order. Which linear function models the total cost, t, for a single order of c cartridges?

• c = 21.14t

• c = 16.89t + 4.25

• t = 21.14c

• t = 16.89c +4.25

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

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

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