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.

6 cm

step-by-step explanation:

1. sometimes

2.   never

3   .08c = 7.50+.05c   250 pages

step-by-step explanation:

1.   sometimes

the theoretical probability of rolling a 1 is 1/6.   perhaps you got really lucky and never rolled a 1   in those 60 times.   your experimental probability is 0.   or perhaps you rolled a 1   20 times.   your experimental probability is 20/60 is 1/3.     it really just depends on how you rolled in that experiment.

2.   never

the probability of the event occurring is 1.   that is being 100 % sure it will happen.   that is the maximum amount of confidence we have.

3.   no customer card cost:   .08 times number of pages

customer card cost:   7.50 + .05 times number of pages

we want to find when it costs the same amount, so we will set these equal

let c = number of pages

.08c = 7.50+.05c

subtract .05c from each side

.08c-.05c = 7.5+.05c-.05c

.03c=7.5

divide each side by .03

.03c/.03 = 7.5/03

c =250  

the cost is the same at 250 pages