Real-World Functions: Slope and Intercept Adventures

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write a function to represent the total cost, and find the cost if a customer drives 150 miles. What is the slope and intercept of this function?

• The total cost for driving 150 miles is $100. The slope is 0.50 and the intercept is 50.

• The total cost for driving 150 miles is $70. The slope is 0.20 and the intercept is 0.

• The total cost for driving 150 miles is $90. The slope is 0.30 and the intercept is 50.

• The total cost for driving 150 miles is $80. The slope is 0.20 and the intercept is 50.

A gym charges a monthly membership fee of $30 and an additional $5 for each class attended. Write a linear equation for the total cost based on the number of classes attended. What does the slope represent in this context?

• C = 30 + 5x; the slope represents the total number of classes.

• C = 30 + 10x; the slope represents the total cost of membership.

• C = 30 + 5x; the slope represents the cost per class attended.

• C = 30 + 2x; the slope represents the number of classes attended.

A phone plan costs $40 per month plus $0.10 for each text message sent. If a customer sends 200 messages in a month, how much will they pay? Write the function and identify the slope and y-intercept.

• $70

• $80

• $50

• $60

A store sells notebooks for $2 each and has a one-time membership fee of $10. Write a function to represent the total cost of notebooks purchased. What is the slope of this function?

• $10

• 2

• $5

• $1

A delivery service charges a base fee of $15 plus $1.50 per mile. Write a linear equation for the total cost of a delivery that is 'x' miles away. What does the slope indicate about the cost?

• C(x) = 15 + 1.5x

• C(x) = 15 + 0.5x

• C(x) = 10 + 1.5x

• C(x) = 15 + 2x

A local theater sells tickets for $12 each and has a $5 service fee. Write a function to represent the total cost of 'n' tickets. What is the y-intercept of this function?

• 7

• 5

• 10

• 0

A landscaping company charges a flat rate of $100 for a service plus $25 for each hour of work. Write a linear equation for the total cost based on hours worked. What does the slope represent?

• C = 100 + 15h; the slope represents the total cost.

• C = 100 + 30h; the slope represents the discount per hour.

• C = 100 + 25h; the slope represents the cost per hour of work.

• C = 50 + 25h; the slope represents the initial fee.

A subscription service charges $10 per month plus $2 for each additional movie rented. Write a function for the total cost based on the number of movies rented. What is the slope of this function?

• 5

• 10

• 0

• 2

A school is selling tickets for a fundraiser at $5 each. If they sell 'n' tickets, write a function to represent the total money raised. What is the y-intercept of this function?

• $5

• n

• 0

• $0

• 5n

A bike rental shop charges a $15 fee plus $3 for each hour the bike is rented. Write a linear equation for the total cost of renting a bike for 'h' hours. What does the slope tell you about the cost per hour?

• C = 15 + 5h; The slope of 5 indicates the cost per hour is $5.

• C = 15 + 2h; The slope of 2 indicates the cost per hour is $2.

• C = 15 + 3h; The slope of 3 indicates the cost per hour is $3.

• C = 10 + 3h; The slope of 3 indicates the cost per hour is $10.