Mastering Slope and Intercept in Real-World Costs

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer drives 100 miles, what is the total cost? Determine the slope and y-intercept of the cost function.

• The total cost is $70. The slope is 0.20 and the y-intercept is 50.

• The total cost is $90. The slope is 0.30 and the y-intercept is 70.

• The total cost is $60. The slope is 0.15 and the y-intercept is 40.

• The total cost is $80. The slope is 0.25 and the y-intercept is 60.

A phone plan costs $40 per month plus $0.10 per text message. If a user sends 200 messages in a month, what is the total cost? Identify the slope and y-intercept of the cost function.

• $70

• $50

• $80

• $60

A delivery service charges $15 for the first 5 miles and $2 for each additional mile. Write the equation for the total cost 'C' in terms of 'd' miles driven. What is the slope of this equation?

• 5

• 1

• 3

• 2

A school is selling tickets for a play. The first 50 tickets are $10 each, and after that, they are $8 each. If 'x' is the number of tickets sold, write the piecewise function for the total revenue. What is the slope in each segment?

• R(x) = { 10x for 0 <= x <= 50; 400 + 9(x - 50) for x > 50. Slope: 10 (first segment), 9 (second segment)

• R(x) = { 10x for 0 <= x <= 50; 500 + 7(x - 50) for x > 50. Slope: 10 (first segment), 7 (second segment)

• R(x) = { 10x for 0 <= x <= 50; 500 + 8(x - 50) for x > 50. Slope: 10 (first segment), 8 (second segment)

• R(x) = { 12x for 0 <= x <= 50; 600 + 6(x - 50) for x > 50. Slope: 12 (first segment), 6 (second segment)

A gardener charges a flat fee of $50 for a service plus $15 per hour worked. If the gardener works for 'h' hours, write the equation for the total cost. What does the slope represent in this context?

• C = 50 + 15h; The slope represents the cost per hour worked.

• C = 50 + 10h; The slope represents the discount per hour.

• C = 15 + 50h; The slope represents the initial fee.

• C = 50h + 15; The slope represents the total cost.

A bike shop sells bikes for $200 each and offers a discount of $20 for every bike purchased after the first. Write the equation for the total cost 'C' in terms of 'n' bikes purchased. What is the slope of this equation?

• C = 200n; slope = 200

• C = 180 + 20n; slope = 20

• C = 20 + 180n; slope = 180

• C = 200 + 20n; slope = 20

A concert venue has a seating capacity of 500. If tickets are sold at $50 each, and the price decreases by $5 for every 50 tickets sold, write the equation for the total revenue 'R' in terms of 't' tickets sold. What is the slope?

• R = 55t - 0.15t^2; Slope = 55 - 0.3t

• R = 50t + 0.1t^2; Slope = 50 + 0.2t

• R = 45t - 0.05t^2; Slope = 45 - 0.1t

• R = 50t - 0.1t^2; Slope = 50 - 0.2t

A taxi company charges a base fare of $3 plus $2 per mile. If a passenger travels 'm' miles, write the equation for the total fare. What does the y-intercept represent?

• Total Fare = 2m; y-intercept represents the cost per mile.

• Total Fare = 3m + 2; y-intercept represents the total distance traveled.

• Total Fare = 5 + 2m; y-intercept represents an additional fee.

• Total Fare = 3 + 2m; y-intercept represents the base fare of $3.

Tags

CCSS.HSF.LE.B.5

A subscription service charges $10 per month plus a one-time setup fee of $20. Write the equation for the total cost 'C' in terms of 'm' months. What does the slope indicate about the cost?

• C = 10m; The slope indicates that the cost remains constant regardless of the number of months.

• C = 20m + 10; The slope indicates that the cost decreases by $10 for each additional month.

• C = 30m + 10; The slope indicates that the cost increases by $30 for each additional month.

• C = 10m + 20; The slope indicates that the cost increases by $10 for each additional month.

Tags

CCSS.HSF.LE.B.5