Question

The function c(x) = 0.5x+70 represents the cost c (in dollars) of renting a truck from a moving company, where x is the number of miles you drive the truck.
a. Graph the function and identify its domain and range. Write your answers as inequalities.

Thankss!!!!

Answer 1

Answer:

b)h(x) = –2x + 200

Step-by-step explanation:

A moving company’s moving rates can be represented by the function f(x) = 3x + 400, where x is the number of miles for the move.

Another moving company’s rates can be represented by the function g(x) = 5x + 200.

Which function represents the difference between the moving companies' rates, h(x) = f(x) – g(x)?

h(x) = 2x + 200

h(x) = –2x + 200

h(x) = 5x – 200

h(x) = 5x + 600

Answer 2

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.