Aball is dropped from a height of 10 meters. each time it bounces, it reaches 50 percent of its previous height. the total vertical distance the ball has traveled when it hits the ground the fifth time is meters.
how many meters is it?

A ball falls from the height of 10 m.
1st bounce: 0.5 * 10 = 5 m
2nd bounce: 5 * 0.5 = 2.5 m
3rd bounce: 2.5 * 0.5 = 1.25 m
4th bounce: 1.25 * 0.5 = 0.625 m
After that the ball hits the ground the 5th time.
Total distance:
10 + ( 5 * 2 ) + ( 2.5 * 2 ) + ( 1.25 * 2 ) + ( 0.625 * 2 ) =
= 10 + 10 + 5 + 2.5 + 1.25 = 28.75 m
The total vertical distance the ball has traveled when it hits the ground the 5th time is  28.75 m.

You would have to multiply all of the numbers

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

answer: the function g(x) has the greatest slope.