During a heavy storm, rain falls for 4.3 hours through the night. A weather station monitors the rain by measuring the milliliters of water it takes to fill a container. How many milliliters
of rain will fill the container if the rain falls at a rate of 2 quarts per 45 minutes? Round to
one decimal.

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.

about 0.75 hours

step-by-step explanation: