Question

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.

Answer 1

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.