You are looking at your power bill for the month, you pay 11 cents per kilowatt-hour. Running a 60 watt light bulb for 1 hour is .06 KWH, if you leave a light on all the time that has 4 light bulbs in it how much would that cost in a 30 day month? Answer in the form of $2.54 without the dollar sign.

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.