Question

Ben is a potato farmer. The function P(a) = 25,000a - 1000 gives the amount

of potatoes, P, in kilograms, that he expects to produce from planting
potatoes on a acres of land. The function M(p) = 0.2p - 200 gives the amount
of money, M, in dollars, that Ben expects to make if he produces p kilograms
of potatoes.
How much money can Ben expect to make if he sells all of the potatoes
produced on the 3 acres?​

Answer 1

$14,600

Explanation:

The function P(a) = 25,000a - 1000 gives the amount of potatoes, P, in kilograms, that he expects to produce from planting potatoes on a acres of land.

If Ben plants on 3 acres of land, then the amount of potatoes expected will be:

P(3) = 25,000(3) - 1000 =74,000kg

The amount of money, M, in dollars, that Ben expects to make if he produces p kilograms of potatoes is given by the function:

M(p) = 0.2p - 200

Since Ben produces 74000kg on 3 acres, the amount of money he is expected to make is then:

M(74000) = 0.2(74000) - 200

=$14,600

Ben will make $14,600 if he sells all of the potatoes produced on the 3 acres.