Atotal of 6.825 inches of snow fell during a storm. the snow fell at an average rate of 1.3 inches per hour. for how many hours did the snow fall?

If the snow falls at a rate of 1.3 inches per hour, dividing 6.825 into 1.3 should give you your answer.

6.825/1.3 = 5.25

Therefore, the snow was falling for 5.25 hours, or 5 hours and 15 minutes.

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.