Question

Construct a function (C(x)) that gives the total cost of renting a car for (x) days, considering the given costs.

A) (C(x) = 45x + 13); If Dustin has $418, he can afford __ days.
B) (C(x) = 45x - 13); If Dustin has $418, he can afford __ days.
C) (C(x) = 45x × 13); If Dustin has $418, he can afford __ days.
D) (C(x) = 45x ÷ 13); If Dustin has $418, he can afford __ days.

Answer 1

To find how many days Dustin can afford, we solve the function for x. For each function, we substitute $418 and solve for x. The results are 9 days, approximately 9.57 days, approximately 0.715 days, and approximately 120.31 days for options A, B, C, and D respectively.

Step-by-step explanation:

To find the number of days Dustin can afford, we need to solve the function for x (number of days).

A) C(x) = 45x + 13

If Dustin has $418, then 45x + 13 = 418. Solving this equation, we have:

45x = 405

x = 9

Therefore, Dustin can afford 9 days.

B) C(x) = 45x - 13

If Dustin has $418, then 45x - 13 = 418. Solving this equation, we have:

45x = 431

x ≈ 9.57

Therefore, Dustin can afford approximately 9.57 days.

C) C(x) = 45x × 13

If Dustin has $418, then 45x × 13 = 418. Solving this equation, we have:

585x = 418

x ≈ 0.715

Therefore, Dustin can afford approximately 0.715 days.

D) C(x) = 45x ÷ 13

If Dustin has $418, then 45x ÷ 13 = 418. Solving this equation, we have:

45x = 5414

x ≈ 120.31

Therefore, Dustin can afford approximately 120.31 days.