Randall’s family drove to the beach for vacation. assume they drove the same speed throughout the trip. the first day, they drove 130 miles in 2 hours. the second day, they drove 325 miles in 5 hours. the third day, they arrived at the beach by driving miles in 6 hours. which number correctly fills in the blank?

why can't you?

step-by-step explanation:

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.