Slope and Y-Intercept: Real-World Applications for 8th Grade

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. What is the slope in this context, and what does it represent?

• The slope is $0.50 per mile.

• The slope is $0.20 per hour.

• The slope is $50 per mile.

• The slope is $0.20 per mile.

A student is saving money for a new laptop. She saves $15 each week, starting with $30. What is the y-intercept, and what does it signify in this scenario?

• $30

• $30 per month

• $15

• $45

A gym charges a monthly membership fee of $40 and an additional $5 for each class attended. What is the slope, and how does it relate to the total cost?

• The slope is 0, meaning there is no cost increase per class.

• The slope is 40, indicating the total monthly fee.

• The slope is 5, representing the cost increase per class attended.

• The slope is 5, representing the total cost of membership.

A phone plan costs $30 per month plus $0.10 per text message. Calculate the y-intercept and explain its meaning in this context.

• $30 per text

• $0

• $30

• $10 per month

A gardener plants flowers in a garden. The cost of planting is $100 plus $20 for each flower. Identify the slope and explain its significance.

• The slope is 10.

• The slope is 20.

• The slope is 50.

• The slope is 100.

A delivery service charges a base fee of $25 and $2 for each mile driven. What does the slope represent in this situation?

• The slope represents the total cost of the delivery service.

• The slope represents the distance traveled in miles.

• The slope represents the cost per mile driven, which is $2.

• The slope represents the base fee of the service.

A school is raising funds by selling cookies. They earn $2 for each cookie sold, starting with a donation of $50. What is the y-intercept, and what does it indicate?

• $75

• $100

• $50

• $25

A taxi company charges a flat rate of $3 plus $1.50 per mile. What is the slope, and how does it affect the total fare?

• The slope is 1, indicating the fare increases by $1 for each mile.

• The slope is 1.5, indicating the fare increases by $1.50 for each mile.

• The slope is 3, indicating the fare increases by $3 for each mile.

• The slope is 2, indicating the fare increases by $2 for each mile.

A subscription service costs $10 per month with an initial sign-up fee of $20. Calculate the y-intercept and discuss its relevance.

• 50

• 10

• 30

• 20

A local farmer sells apples for $1.50 each, starting with a $10 fee for picking. Identify the slope and explain its context.

• 1.50

• $2.00

• $1.25

• $0.75