Each month a beauty salon gives x manicures that cost $12.00 each. The cost to the owner of the beauty salon for each manicure is $7.35.

Question

The monthly fixed cost to maintain a manicure station is $120.00. Write an equation that relates the monthly profit, in dollars, to the number of manicures given each month. Then use the equation to find the profit when 200 manicures are given in a month. A. P = 12x - 120: $2,280. B. P = 4.65x - 120; $810. C. P = 12x - 7.35x; $930. D. P = 19.35x - 120; $3,750.

Answer 1

Let = number of manicures per month

C(x) = monthly cost = 7.35x + 120

R(x) = monthly revenue = 12x

P(x) = monthly profit = R(x) - C(x) = 4.65x - 120

Plug in 200 for x in the profit function to answer the second question.