Slope-Intercept Form: Real-World Cost Challenges

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write the equation in slope-intercept form that represents the total cost (C) as a function of miles driven (m). What is the slope and y-intercept?

• Slope: 0.20, Y-intercept: 100

• Slope: 0.20, Y-intercept: 50

• Slope: 0.50, Y-intercept: 20

• Slope: 0.10, Y-intercept: 50

A local gym charges a monthly membership fee of $30 and an additional $5 per class attended. Write the equation in slope-intercept form for the total cost (C) based on the number of classes (c) attended. Identify the slope and intercept.

• C = 10c + 20; Slope: 10, Intercept: 20

• C = 5c + 25; Slope: 5, Intercept: 25

• C = 3c + 30; Slope: 3, Intercept: 30

• C = 5c + 30; Slope: 5, Intercept: 30

Two friends are saving money for a concert. Friend A saves $10 each week, starting with $20. Friend B saves $15 each week, starting with $10. Write the equations in slope-intercept form for both friends' savings. At what week will they have the same amount saved?

• 1 week

• 2 weeks

• 3 weeks

• 4 weeks

A phone company offers a plan that costs $40 per month plus $0.10 per text message. Write the equation in slope-intercept form for the total cost (C) based on the number of text messages (t) sent. What does the slope represent?

• C = 40 + 0.05t; The slope (0.05) represents the cost per text message.

• C = 0.10t; The slope (40) represents the monthly fee.

• C = 40 + 0.10t; The slope (0.10) represents the cost per text message.

• C = 40t + 0.10; The slope (0.10) represents the total cost.

A school is selling tickets for a play. The tickets cost $8 each, and there is a one-time fee of $50 for the venue. Write the equation in slope-intercept form for the total revenue (R) based on the number of tickets sold (n). Identify the slope and intercept.

• R = 10n + 50; slope = 10, intercept = 50

• R = 8n + 30; slope = 8, intercept = 30

• R = 8n + 50; slope = 8, intercept = 50

• R = 5n + 50; slope = 5, intercept = 50

A delivery service charges a base fee of $15 plus $2 per mile driven. Write the equation in slope-intercept form for the total charge (C) based on the distance (d) in miles. What is the meaning of the slope in this context?

• C = 2d + 15; The slope (2) represents the charge per mile driven.

• C = 2d + 10; The slope (2) represents the total distance driven.

• C = 15d + 2; The slope (15) represents the total charge.

• C = 15 + 2d; The slope (15) represents the base fee.

A gardener is planting flowers. The cost of planting is $25 plus $3 per flower. Write the equation in slope-intercept form for the total cost (C) based on the number of flowers (f) planted. Identify the slope and intercept.

• C = 5f + 20; Slope: 5, Intercept: 20

• C = 3f + 25; Slope: 3, Intercept: 25

• C = 2f + 30; Slope: 2, Intercept: 30

• C = 4f + 15; Slope: 4, Intercept: 15

A bookstore sells novels for $12 each and has a membership fee of $20. Write the equation in slope-intercept form for the total cost (C) based on the number of novels (n) purchased. What do the slope and intercept represent?

• C = 12n - 20

• C = 10n + 20

• C = 15n + 10

• C = 12n + 20

A taxi company charges a flat rate of $5 plus $2 for every mile driven. Write the equation in slope-intercept form for the total fare (F) based on the distance (d) in miles. What is the slope and what does it represent?

• F = 2d; slope = 0, representing no cost per mile.

• F = 5d + 2; slope = 5, representing the total fare.

• F = 3d + 5; slope = 3, representing the cost per mile.

• F = 2d + 5; slope = 2, representing the cost per mile.

A subscription service charges $10 per month plus $1 for each additional movie rented. Write the equation in slope-intercept form for the total cost (C) based on the number of movies (m) rented. Identify the slope and intercept.

• C = 2m + 5; slope = 2, intercept = 5

• C = 1m + 10; slope = 1, intercept = 10

• C = 0.5m + 15; slope = 0.5, intercept = 15

• C = 10m + 1; slope = 10, intercept = 1