Question

The function c(x) = 0.5x+70 c(x) = 0.5x+70 represents the cost cc (in dollars) of renting a truck from a moving company, where xx is the number of miles you drive the truck.

Answer 1

I believe we are to find for values in this problem.

a. The graph of the function

b. The domain and range

c. The slope

d. The c intercept value

 

Answers:

a. see the graph photo attached

 

b. The domain is the set of all x that can be input to the function. Since x is the distance and we know that distance cannot be negative hence the domain is:

x ≥ 0

So the range starts from x = 0:

c (x) = 0.5 * 0 + 70 = 70

Therefore the range is:

c ≥ 70

 

Domain: x ≥ 0                     Range: c ≥ 70

 

c. A linear equation has a general form of:

y = mx + b

 

where m is the slope

From the given equation, the slope is 0.5.

 

slope = 0.5

 

d. The c intercept is simply the value of c when x is equal to 0

 

c intercept = 70