While riding her bike to the ocean and back home 7 times, Kimberly timed herself at 48min, 51min, 41min, 52min, 57min, 59min, and 56min. She had set a goal of averaging 51 minutes for her rides. How many minutes will she need to spend on her eighth ride to attain her goal?

step-by-step explanation:

i believe its "c" because all of the other options include a but it could be d because there is a way of financing with cash at certain places but its uncommon.

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.