Question

What is the cost function for Dylan’s car detailing business "Krazy Shiny Cars" if he charges a $20 fee plus $17.50 per hour for cleaning a car in "h" hours?

A. C(h) = 20 + 17.50h
B. C(h) = 17.50 + 20h
C. C(h) = 17.50h - 20
D. C(h) = h(17.50 + 20)

Answer 1

The cost function for Dylan's car detailing business is represented by the equation C(h) = 20 + 17.50h, where the y-intercept is $20 and the slope is $17.50 per hour.

Step-by-step explanation:

The cost function for Dylan's car detailing business 'Krazy Shiny Cars' is C(h) = 20 + 17.50h where 'h' represents the number of hours spent cleaning a car. The $20 is a fixed fee that is charged regardless of how long the cleaning takes, making it the y-intercept of the linear equation representing the cost function. The $17.50 per hour is the variable cost dependent on the number of hours 'h', making it the slope of the cost function. Therefore, the correct answer is A. C(h) = 20 + 17.50h.