Ataxi service charges an initial $5 fee , plus $2 per mile driven.
a. write an equation to represent the situation.
b. how much is the taxi service for 150 miles driven

Part A 2x+5. x is the number of miles driven.

Part B $305. Plug in 150 for x, and the equation is 2*150+5=x, x being your answer that you are looking for. Do the Order of Operations, which is PEMDAS (Parenthesis, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right.) So in other words, do 2*150 first, and you get 300. Now your equation is 300+5=x. Add 300+5, and you get 305=x. So your answer is $305.

The equation will be:
y=mx+b
m=slope
b=y-intercept

In this case:
m=2
b=5

x= number of miles
C(x)=cost of a trip.

C(x)=2x+5

A)
the equation to represent the situation would be C(x)=2x+5; when x=number of miles traveled. 

B)
If x=150
then:
C(150)=2(150)+5=300+5=305

answer. the taxi service for 150 miles driven would be $305.