Ron sells bananas for $0.60 each. How many bananas did Ron sell if he made $150.00, after taking off $39.00 for his banana stand rental?

Ron sold 315 bananas.

Let’s find the total amount of money he made (before the rental fee)
$150 + $39 = $189

To find how much bananas he sold, let’s divide the total money he made, 189 dollars, by the price of a banana, 0.60 dollars.
189 divided by 0.60 = 315 bananas

He sold 315 bananas.

Answer

1 number

explanation

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.

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