Question

Claire enrolls in a scuba diving program. The program costs include a one-time registration fee of $75 and $60 for each lesson. In addition, Claire had to purchase scuba equipment costing $275. A-Write an equation that models the average cost per lesson (C) in terms of the number of lessons that Claire takes (x). B-Use the equation you wrote to find the number of lessons Claire took if the average cost per lesson is $110.

a) C(x) = 60x + 75 + 275
b) C(x) = 60x + 75
c) C(x) = 60x + 110
d) C(x) = 110x - 75

Answer 1

The equation that models the average cost per lesson in terms of the number of lessons Claire takes is C(x) = 60x + 75 + 275. There is no answer for part B of the question.

Step-by-step explanation:

To write the equation that models the average cost per lesson in terms of the number of lessons, we need to consider the fixed costs and variable costs. The fixed costs include the one-time registration fee of $75 and the scuba equipment costing $275. The variable costs are $60 per lesson. So, the equation that models the average cost per lesson (C) in terms of the number of lessons (x) is:

C(x) = 60x + 75 + 275

To use this equation to find the number of lessons Claire took if the average cost per lesson is $110, we need to substitute C(x) with 110 and solve for x:

110 = 60x + 75 + 275

110 = 60x + 350

60x = 110 - 350

60x = -240

x = -240/60

x = -4

Since the number of lessons cannot be negative, we cannot find a feasible solution for this equation. Therefore, there is no answer for part B of the question.