Real-World Scenarios for Linear Functions

Joe had a summer job that pays $7.00 an hour and he worked between 15 and 25 hours every week. His weekly salary can be modeled by the equation: y = 7x, where y is his weekly salary and x is the number of hours he worked in a week. What is a reasonable range for this function?

• {15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25}

• {105, 112, 119, 126, 133, 140, 147, 154, 161, 168}

• {y | 15 ≤ y ≤ 25}

• {y | 105 ≤ y ≤ 168}

A student lives 4 miles from his school. He is skateboarding to school at a rate of 2 miles per hour. His distance from school, y, is a function of how long he has been riding his skateboard, x. What is a reasonable domain for this situation?

• {0, 1, 2}

• {0, 1, 2, 3, 4}

• {x | 0 ≤ x ≤ 2}

• {x | 0 ≤ x ≤ 4}

A student lives 4 miles from his school. He is skateboarding to school at a rate of 2 miles per hour. His distance from school, y, is a function of how long he has been riding his skateboard, x. What is a reasonable range for this situation?

• {0, 1, 2}

• {0, 1, 2, 3, 4}

• {y | 0 ≤ y ≤ 2}

• {y | 0 ≤ y ≤ 4}

Adam signed up for a streaming music service that costs $13. The service allows Adam to listen to unlimited music, but if he wants to download songs for offline listening, the service charges $1 per song.

Write an equation to model this situation.

Deion just accepted a job at a new company where he will make an annual salary of $53,000. Deion was told that for each year he stays with the company, he will be given a salary raise of $4,000. Which equation could be written to model this situation?

• y=53,000x+4,000

• y=4,000x+53,000

• y=-4,000x+53,000

• y=53,000x-4,000

At the beginning of a snowstorm, Jeriel had 3 inches of snow on his lawn. The snow then began to fall at a constant rate of 2 inches per hour. Which equation could be used to model this situation?

• y=2x+3

• y=3x+2

• y=-2x+3

• y=-3x+2

Madeline is saving up to buy a new bicycle. She already has $25 and can save an additional $6 per week using money from her after school job. Which equation could be used to model this situation?

• y=25x+6

• y=6x+25

• y=-6x+25

• y=25-6x

Alan just accepted a job at a new company where he will make an annual salary of $61,000. Alan was told that for each year he stays with the company, he will be given a salary raise of $1,500.

What is the slope/rate of change?

• 61,000

• 1,500

• -61,000

• -1,500

Ruby is driving on a long road trip. She currently has 14 gallons of gas in her car. Each hour that she drives, her car uses up 0.75 gallons of gas.

What is the slope?

• 14

• 0.75

• -0.75

• -14

Julia is driving on a long road trip. She currently has 10 gallons of gas in her car. Each hour that she drives, her car uses up 1 gallon of gas.

What is the y-intercept?

• 10

• 1

• -10

• -1