# 8th grade algebra

A gardner at a nursery is filling pots with soil to prepare to transplant seedlings into these larger pots. Each new pot needs about 27 cubic inches of soil. The amount of soil s (in cubic inches) it takes to fill p pots is given by the function s=27p.

a. The gardener is filling the pots from a big bag of soil that contains 3456 cubic inches of soil. Graph the function and identify its domain and range. How many pots can be filled from the bag?

b. Suppose the gardener needs to fill at most 100 pots. Graph the function on the coordinate plane in part (a). Identify its domain and range. How much soil (in cubic inches) will the gardener need?

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1. the range of s is [0,3456]
since s=27p, that means the domain is [0/27,3456/27] = [0,128]

(b) now the domain is [0,100]
so, the range of s is [0,2700]

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