150 grams of fertilizer is required for a land area of 6 square meters. a) at this rate, how many grams of fertilizer are required for a land area of 13 square meters? b) for what land area will 850 grams of fertilizer be sufficient?

If 150g of fertilizer can cover 6 sq m of land then, 25 g of fertilizer can cover 1 sq m of land;

a) For 13 sq m of land we need 25g*13

325g

b)

850g/25g=amount of land

34 sq m

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.