There are 850 douglas fir and ponderosa pine trees in a section of forest bought by karamazov logging co. the company paid an average of $300 for each douglas fir and $225 for each ponderosa pine. if the company paid $217,500 for the trees, how many of each kind did the company buy?

Answer is "B" 350 Douglas firs and 500 Ponderosa pines

Step-by-step explanation:

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.