At a certain vineyard it is found that each grape vine produces about 10 lb of grapes in a season when about 500 vines are planted per acre. for each additional vine that is planted, the production of each vine decreases by about 1 percent. so the number of pounds of grapes produced per acre is modeled by

y = (500 + n) (10 - 0.01n)

Step-by-step explanation:

Let y = the yield of grapes per acre

and n = the number of vines.

y = number of vines * yield per vine

For each additional vine that is planted, the yield decreases by 1 % (0.01 n).

y = (500 + n) (10 - 0.01n)

The number of pounds of grapes produced per acre is modeled

by y = (500 + n) (10 - 0.01n).