Real-Life Linear Functions: Slope and Y-Intercept Challenges

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. Write the linear function that represents the total cost (C) in terms of miles driven (m). What is the y-intercept and what does it represent in this context?

• C(m) = 15 + 0.20m; y-intercept = 15, representing the cost per mile.

• C(m) = 20 + 0.10m; y-intercept = 0, representing no initial fee.

• C(m) = 20 + 0.15m; y-intercept = 20, representing the initial rental fee.

• C(m) = 25 + 0.15m; y-intercept = 25, representing a higher initial fee.

A gym charges a monthly membership fee of $30 and an additional $5 for each class attended. Write the linear function for the total cost (C) based on the number of classes (c) attended. What does the slope represent?

• C(c) = 30 + 5c; slope = 5

• C(c) = 30 + 2c; slope = 2

• C(c) = 25 + 5c; slope = 25

• C(c) = 30 + 10c; slope = 10

A phone plan costs $25 per month plus $0.10 for each text message sent. If a customer sends 50 messages in a month, what is their total bill?

• $25

• $35

• $40

• $30

A school is selling tickets for a play. The tickets cost $10 each, and the school has a goal of selling 200 tickets. Write a linear function to represent the total revenue (R) based on the number of tickets sold (t). What is the slope of this function?

• 5

• 10

• 20

• 15

A delivery service charges a base fee of $5 plus $2 for each mile driven. If a delivery is made for 10 miles, what is the total cost?

• $25

• $30

• $20

• $15

A local bakery sells cupcakes for $3 each. If they sell 150 cupcakes in a day, how much revenue do they generate? Write the linear function for revenue based on the number of cupcakes sold (c).

• $750

• $450

• $600

• $300

A taxi company charges a flat rate of $2.50 plus $1.50 per mile. If a customer takes a 5-mile ride, how much will they pay?

• $10.00

• $7.50

• $15.00

• $12.50

A subscription service charges $15 per month. If a customer subscribes for 6 months, what is the total cost? Write the linear function for total cost (C) based on the number of months (m).

• $75

• $45

• $90

• $120

A farmer sells apples for $2 per pound. If he sells 80 pounds, how much money does he make? Write the linear function for revenue based on the weight of apples sold (w).

• $120

• $200

• The farmer makes $160.

• $80

A concert venue has a seating capacity of 500 and sells tickets for $50 each. If they sell all the tickets, what is the total revenue? Write the linear function for revenue based on the number of tickets sold (t). What does the y-intercept represent?

• The linear function is R(t) = 100t.

• Total revenue is $20000.

• The y-intercept represents $50 revenue when one ticket is sold.

• Total revenue is $25000. The linear function is R(t) = 50t. The y-intercept represents $0 revenue when no tickets are sold.