Ben has $10 to spend on dinner. he can have a pizza delivered, drive to a burger place, or go to the grocery store to get ingredients for a fresh salad. in the end, he goes with the salad. if each meal would have cost him the same amount, what is ben’s incentive for choosing salad?

step-by-step explanation:

just plug in each number for x and see which ones work and don't

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.