Exploring Intercepts in Real-Life Scenarios for Grade 8

A car rental company charges a flat fee of $50 plus $20 for each day the car is rented. Find the y-intercept and explain its meaning in this context.

• $70

• $20

• $100

• 50

A local bakery sells cupcakes for $3 each and has a fixed cost of $30 for ingredients. Determine the x-intercept and interpret what it signifies for the bakery.

• 10

• 20

• 15

• 5

A gym charges a monthly membership fee of $40 and an additional $10 for each class attended. What does the y-intercept represent in this situation?

• The y-intercept is $0, representing no cost for membership.

• The y-intercept is $50, representing the total cost of membership and one class.

• The y-intercept is $10, representing the cost per class attended.

• The y-intercept is $40, representing the monthly membership fee.

A phone plan costs $25 per month plus $0.10 per minute of calls. Calculate the x-intercept and discuss its significance in terms of usage.

• (0, 250)

• The x-intercept is (-250, 0).

• (-100, 0)

• (0, 25)

A school is organizing a fundraiser where they sell tickets for $5 each and have a fixed cost of $200. Find the y-intercept and explain its relevance to the fundraiser.

• The y-intercept is -200.

• The y-intercept is -5.

• The y-intercept is 5.

• The y-intercept is 200.

A delivery service charges a base fee of $15 plus $2 per mile. What does the x-intercept indicate about the service's pricing model?

• The x-intercept indicates the minimum distance required for delivery.

• The x-intercept represents the base fee charged by the service.

• The x-intercept shows the total cost of the service at maximum distance.

• The x-intercept indicates the maximum distance (in miles) the service can cover without charging a fee.

A concert venue has a fixed cost of $500 for hosting an event and sells tickets for $25 each. Determine the y-intercept and interpret its meaning for the venue.

• The y-intercept is $0.

• The y-intercept is $1000.

• The y-intercept is $25.

• The y-intercept is $500.

A farmer sells vegetables for $2 per pound and has a fixed cost of $100 for supplies. Find the x-intercept and explain what it means for the farmer's sales.

• 75

• 50

• 25

• 100

A subscription box service charges $10 per box and has a monthly fee of $15. Calculate the y-intercept and discuss its implications for customers.

• The y-intercept is 5.

• The y-intercept is 25.

• The y-intercept is 15.

• The y-intercept is 10.

A tutoring service charges $30 per hour and has a one-time registration fee of $50. What does the x-intercept represent in terms of the number of hours tutored?

• The x-intercept represents the point where the total cost of tutoring is zero, indicating no hours can be tutored without incurring costs.

• The x-intercept shows the point where the registration fee is waived.

• The x-intercept represents the total revenue generated from tutoring.

• The x-intercept indicates the maximum number of hours that can be tutored.