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The cost C, in dollars, to tow a car is modeled by the function C(x) = 2.5 x + 85, Where x is the number of miles towed.
a.What is the cost of towing a car 40 miles?
b. If the cost of towing a car is $245, how many miles was it towed?
c.Suppose that you have only $150. What is the maximum number of miles that you can be towed?
d. What is the domain of C?

PLEASE explainstep by step. i already know the answers but I want to know how to solve it . Thank you!

Respuesta :

MathPhys

Answer:

a. $185

b. 64 miles

c. 26 miles

d. x > 0

Step-by-step explanation:

a. Find C(x) when x = 40.

C(x) = 2.5 x + 85

C(40) = 2.5 (40) + 85

C(40) = 185

b. Find x when C(x) = 245.

C(x) = 2.5 x + 85

245 = 2.5 x + 85

160 = 2.5 x

x = 64

c. Find x when C(x) = 150.

C(x) = 2.5 x + 85

150 = 2.5 x + 85

65 = 2.5 x

x = 26

d. The domain of C is all the possible values of x.  Since x is a distance, it doesn't make sense for it to be negative, so x > 0.

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