Sarah the cheetah ran 100 meters at a speed of 16.8 meters per second. an olympian ran the 100-meter dash in 9.6 seconds. how much faster was sarah the cheetah’s speed, to the nearest tenth of a meter per second? 0.9 meters per second 1.6 meters per second 6.4 meters per second 10.4 meters per second

First let us calculate for the speed of the Olympian runner by taking the ratio of distance over time.

Olympian speed = 100 m / 9.6 s

Olympian speed = 10.4 m/s

Therefore the difference in speed is:

16.8 m/s – 10.4 m/s = 6.4 meters per second

6.4 meters per second

Step-by-step explanation:

Sarah's speed, to the tenth of a meter per second, is 16.8.

The Olympian ran 100 meters in 9.6 seconds; this speed is given by

100/9.6 ≈ 10.4

This makes Sarah's speed faster by

16.8-10.4 = 6.4 meters per second

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.