Slope and Y-Intercept Real World Scenarios

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.

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

What does the slope mean in the context of the problem?

• The cost will increase by $1.40 per topping

• The cost will decrease by $1.40 per topping

• The cost will increase by $1.90 per topping

• The cost will decrease by $1.90 per topping 

What is the meaning of the y-intercept?

• The cost per ride is $1.75

• The cost per ride is $5

• The cost to get into the fair is $5

• The cost to get into the fair is $1.75

What is the meaning of the slope?

• Her bill will increase by $2.95 for every grandchild she brings.

• The cost for Mrs. Franklin's meal is $6.85

• Her bill will increase by $6.85 for every grandchild she brings.

• The cost for Mrs. Franklin's meal is $2.95

What is the meaning of the y-intercept?

• The hamburger will cost $1.90 without any toppings.

• The hamburger will cost $1.40 without any toppings. 

• The cost of the hamburger is $1.90 with one topping

• The cost of the hamburger doesn't change no matter how many toppings there are.

What is the meaning of the slope? (Hint: choose two points! Hours rented (x) and amount paid (y))

• The cost will increase by $12 per hour

• The initial fee is $15 before hourly charges

• The cost will increase by $15 per hour

• The initial fee before hourly charges is $12