Amanufacturer uses a tank to supply water to his machines while they are working. when the machines are on the tank loses 1.5 gallons of water an hour at the same time 1 gallon of water is pumped into the tank from a well. write an equation that models the amount of water (w) in the tank for any hour (h) that the machines are on. the tank starts full with 150 gallons of water in it.

w=-.5h+150

Step-by-step explanation:

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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.