Lines and Slopes: Solving Real-World Cost Problems

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

• C = 15 + 0.20m; slope = 0.20, representing the base fee.

• C = 20 + 0.15m; slope = 0.15, representing the cost per mile.

• C = 20 + 0.10m; slope = 0.10, representing the total cost.

• C = 25 + 0.15m; slope = 0.15, representing the flat fee.

A gardener is planting a row of flowers. The cost of planting is $50 plus $10 for each flower. Write the equation for the total cost (C) in terms of the number of flowers (f). What does the slope indicate about the cost per flower?

• C = 50 + 5f; the slope indicates the cost per flower is $5.

• C = 50 + 10f; the slope indicates the cost per flower is $10.

• C = 50f; the slope indicates the cost per flower is $50.

• C = 50 + 15f; the slope indicates the cost per flower is $15.

A delivery service charges a base fee of $5 and $2 for each package delivered. Write the equation for the total charge (C) based on the number of packages (p). What does the slope of this equation represent?

• C = 5 + 2p; the slope represents the cost per package delivered.

• C = 5 + 3p; the slope represents the total delivery fee.

• C = 5p; the slope represents the number of packages delivered.

• C = 2 + 5p; the slope represents the base fee.

A gym membership costs $30 per month plus a one-time registration fee of $50. Write the equation for the total cost (C) in terms of months (m). What does the slope tell you about the cost of the membership?

• C = 30m + 50; The slope (30) indicates the monthly cost of the membership.

• C = 50m + 30; The slope (50) indicates the total cost of the membership.

• C = 30m + 100; The slope (100) indicates the annual cost of the membership.

• C = 30m; The slope (30) indicates the one-time registration fee.

A phone plan costs $25 per month plus $0.10 for each text message sent. Write the equation for the total cost (C) based on the number of text messages (t). What does the slope represent in this scenario?

• C = 0.10 + 25t; the slope represents the monthly fee.

• C = 25t + 0.10; the slope represents the total cost.

• C = 25 + 0.05t; the slope represents the number of text messages.

• C = 25 + 0.10t; the slope (0.10) represents the cost per text message.

A taxi company charges a flat rate of $3 plus $2 for each mile driven. Write the equation for the total fare (F) in terms of miles (m). What does the slope indicate about the cost per mile?

• F = 2 + 3m; The slope indicates the cost per mile is $3.

• F = 3 + 2m; The slope indicates the cost per mile is $2.

• F = 3 + 1m; The slope indicates the cost per mile is $1.

• F = 3 + 3m; The slope indicates the cost per mile is $3.

A school is selling tickets for a play. Each ticket costs $8, and there is a $50 setup fee. Write the equation for the total revenue (R) in terms of the number of tickets sold (t). What does the slope represent in this context?

• R = 8t; the slope represents the total number of tickets sold.

• R = 50t + 8; the slope represents the total cost of the play.

• R = 8t - 50; the slope represents the profit per ticket sold.

• R = 8t + 50; the slope represents the revenue per ticket sold.

A local bakery sells cupcakes for $3 each and has a fixed cost of $20 for supplies. Write the equation for the total cost (C) in terms of the number of cupcakes (c). What does the slope indicate about the cost of each cupcake?

• C = 2c + 20; The slope indicates that each cupcake costs $2.

• C = 3c; The slope indicates that there are no fixed costs.

• C = 5c + 20; The slope indicates that each cupcake costs $5.

• C = 3c + 20; The slope indicates that each cupcake costs $3.

A concert venue charges a $100 rental fee plus $5 per ticket sold. Write the equation for the total revenue (R) in terms of tickets sold (t). What does the slope represent in this situation?

• R = 100 - 5t; the slope represents the total cost per ticket sold.

• R = 100 + 5t; the slope represents the revenue gained per ticket sold.

• R = 5t; the slope represents the fixed rental fee.

• R = 100 + 10t; the slope represents the revenue lost per ticket sold.

A subscription service charges $10 per month plus a one-time fee of $15. Write the equation for the total cost (C) in terms of months (m). What does the slope tell you about the monthly cost?

• C = 15m + 10; The slope of 15 indicates the monthly cost is $15.

• C = 10m + 5; The slope of 10 indicates the total cost is $5 per month.

• C = 10m + 15; The slope of 10 indicates the monthly cost is $10.

• C = 10m; The slope of 10 indicates there is no monthly cost.