Question

Henrietta designs websites for individuals and businesses. Since she charges a $50.00 consultation fee plus $24.00 per hour in labor, a function that would describe her charges would be C(h) = 24h + 50, where C(h) is the cost function for the number of hours, h.

a) How much would Henrietta charge a client for a job that takes 13 hours? Show your work.

b) How many hours did Henrietta work if she charges a client $542.00? Explain and show how you get your answer.

A) a) $362, b) 6 hours

B) a) $362, b) 7 hours

C) a) $362, b) 8 hours

D) a) $372, b) 7 hours

Answer 1

Henrietta charges a client $362 for a job that takes 13 hours of work. When she charges a client $542, it indicates that she has worked 20.5 hours.

Step-by-step explanation:

Henrietta designs websites for individuals and businesses, and her billing function is represented as C(h) = 24h + 50, where C(h) represents the total cost and h represents the number of hours of labor. Part A: Calculating Total Charge for 13 Hours. To calculate the total charge for a job that takes 13 hours, we use Henrietta's cost function: C(h) = 24h + 50.For h = 13: C(13) = 24(13) + 50, C(13) = 312 + 50, C(13) = $362. Part B: Calculating Hours Worked for a $542 Charge. To find out how many hours Henrietta worked for a charge of $542, we solve the equation for h: 542 = 24h + 50, 492 = 24h, h = 492 / 24, h = 20.5. Therefore, Henrietta worked 20.5 hours when she charged a client $542.