In the past month, karen rented  7 7 videos games and  6 d v d . the rental price for each video game  was $ 2 . 8 0 the rental priece for each. what is the total amount that karen spent on video game and dvd rentals in the past month?

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.