Right triangle ABC is shown below. On a coordinate plane, a line goes through (1, 0) and (3, 5). A triangle has a rise of 5 and run of 2.

A similar right triangle would be created by a run of 8 and a rise of
.

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.

the correct answer is c

good luck love