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?

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

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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