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AssignmentMultiple Choice

Combining Functions

Question 2 • FL-1200330-Algebra 2 Sem 1 - Flex

At a ski resort, the cost of renting ski equipment for x days can be represented by the function f(x) = 44x + 8.The cost of renting ski equipment for x days at another ski resort can be represented by the function g(x) = 30x + 15.Which of the following represents h(x) = f(x) – g(x), the difference in the rental amounts between the resorts?

Answer
A
h(x) = 74x – 23
B
h(x) = 74x + 7
C
h(x) = 14x – 7
D
h(x) = 14x + 7

Explanation

Subtract the second resort’s cost from the first: h(x) = (44x + 8) − (30x + 15). Distribute the subtraction to get 44x + 8 − 30x − 15 = 14x − 7. Therefore, the difference is h(x) = 14x − 7, choice C.

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