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

Answer:Given function: c(x) = 0.5x+70.Where c is the cost (in dollars) and x is the number of miles you drive the truck.If we compare given function by slope-intercept form y=mx+b, we get Slope m = 0.5 in fractions could be written as 1/2.And y-intercept b =70.So, in order to graph it, we need to plot y-intercept at 70 first and then plot some more points using rise/run = 1/2.The red line is the graph for the given function.We can see that starting value of cost is $70 for 0 number of miles.x values represents domain and C(x) represents range.We can take x values greater than or equal to 0 and C values greater than equal to 70.Therefore, Domain: x≥0 and Range : C(x) ≥ 70.

Step-by-step explanation:Credit:User named PiaDeveau thanks for providing the answer and hope this helps

:)

Answer 2

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