Real World Slope and Y Intercept

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

Paisley is saving up to buy a new jacket. She already has $85 and can save an additional $9 per week using money from her after school job.

What is the y-intercept?

• 85

• 9

• -85

• -9

AJ is driving to a concert and needs to pay for parking. There is an automatic fee of $9 just to enter the parking lot, and when he leaves the lot, he will have to pay an additional $3 for every hour he had his car in the lot. Write an equation to model this situation.

Faith has a smart phone data plan that costs $45 which includes 3 GB of data, but will charge an extra $20 per GB over the included amount.

Write an equation to model this situation.

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.

The table shows the wages earned by a cashier during a week. If an equation were written to describe the amount of money earned, which best describes the slope?​ (a)  

• the cashier earns $6.25 per hour

• the cashier earns $6 per hour

• the cashier earns $12.50 per hour

• the cashier earns $8 per hour

• the cashier earns $12 per hour

The graph shows the altitude of a car as a driver descends down a mountain. What is the meaning of the y-intercept?​

• the driver ascended 1500 ft. up the mountain at the end of the trip.

• the driver reached the base of the mountain after 6 hours

• the height at which the driver started was 1500 ft.

• the driver descended at 300 ft an hour