Finding X and Y Intercepts in Real-Life Scenarios

A car rental company charges a flat fee of $50 plus $20 for each day the car is rented. What is the y-intercept of the cost equation, and what does it represent in this context?

• 50

• $20

• $70 total for 3 days

• $50 per day

A local bakery sells cupcakes for $3 each. If they have a fixed cost of $30 for ingredients, what is the x-intercept of the revenue equation, and what does it signify?

• 20

• 15

• 5

• 10

A gym membership costs $40 per month, and there is a one-time registration fee of $100. Identify the y-intercept and explain its meaning in this scenario.

• The y-intercept is $100.

• The y-intercept is $0.

• The y-intercept is $40.

• The y-intercept is $140.

A farmer sells apples for $2 per pound and has fixed costs of $100 for equipment. What does the x-intercept of the profit equation indicate about the number of pounds of apples needed to break even?

• 100 pounds

• 75 pounds

• 50 pounds

• 25 pounds

A concert venue has a seating capacity of 500 and charges $20 per ticket. If the total revenue is represented by a linear equation, what does the y-intercept represent in terms of ticket sales?

• The y-intercept represents the total number of tickets sold.

• The y-intercept represents the total revenue when no tickets are sold.

• The y-intercept represents the price of each ticket.

• The y-intercept represents the maximum revenue possible.

A school is raising funds by selling cookies for $5 each. If they have a goal of $200, what is the x-intercept of the fundraising equation, and what does it mean in this context?

• 40

• 50

• 30

• 25

A delivery service charges a base fee of $10 plus $2 per mile. What is the y-intercept of the cost equation, and what does it represent?

• $2

• 10

• $10 per mile

• $0

A movie theater sells tickets for $12 each and has fixed costs of $300. What does the x-intercept of the revenue equation tell us about the number of tickets needed to cover costs?

• 30 tickets

• 15 tickets

• 25 tickets

• 50 tickets

A subscription box service charges $25 per month with a one-time fee of $50. Identify the y-intercept and explain its significance in this situation.

• The y-intercept is $50.

• The y-intercept is $75.

• The y-intercept is $25.

• The y-intercept is $0.

A lemonade stand sells lemonade for $1 per cup and has a fixed cost of $10 for supplies. What does the x-intercept of the profit equation indicate about the number of cups needed to break even?

• 10 cups

• 15 cups

• 20 cups

• 5 cups