So, you know how to divide a percent by 100 to get the decimal? why does this work?

it works because a percent is a fraction of 100, or a part of 100. so if you have 23%, that is 23% of 100%. hope that helps:)

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.