Oliver rides his bike 43 miles in 2.5 hours. How many miles will he ride in 3.5 hours?

60.2 miles.

Step-by-step explanation:

43 / 2.5 = 17.2 << unit rate

17.2 x 3.5 = 60.2

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.