The first and second box choice's are Robert and Eileen. And the Last box the answer choice's are 1.3, 2.7, 8.2, 28.9

Roberto bikes faster than Eileen by 1.3 mi/h

Step-by-step explanation:

Robert bikes faster than Eileen by 1.3 mi/h

Step-by-step explanation:

first we have to find the mph rate

Robert: 9.5

Eileen: 8.2

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.