I don't understand how to do the equation. #10

Both options have a per day, constant charge. They also have a per mile charge. The per mile charge is multiplied by the number of miles driven, to get the amount you have to pay. So, you can write the following equations:

Option A:     25 + 0.45*m    ( * means multiply; 'm' means miles)

Option B:     45 + 0.25*m

Then just set them equal to each other to solve for 'm'. Here's the work:

25 + 0.45*m = 45 + 0.25*m

-25                          -0.25*m

0.45*m - 0.25*m = 45 - 25

0.20*m = 20

/0.20       /0.20

m = 100      

This answer means that if you drive each car 100 miles, then it will cost the same for both car options. So, the answer to the problem is:

a. Equations: Option A:     25 + 0.45*m

                       Option B:     45 + 0.25*m

b. 100 miles

I hope this helps! Feel free to give me Brainliest if you feel this helped.

-3.396 = -3.4

-0.708 = -0.7

0.304 = 0.3

0.955 = 1

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).