A red candle is 8 inches tall and burns at a rate of 710 inches per hour. A blue candle is 6 inches tall and burns at a rate of 15 inches per hour.
After how many hours will both candles be the same height?

the correct answer is d

hope this

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.

answer: 0.26

i used the calculator on google