The owner of a grocery store can sell 2654 gallons of milk each week at $2.41 pe

Kye

Kye

Answered question

2021-10-28

The owner of a grocery store can sell 2654 gallons of milk each week at $2.41 per gallon and 2954 gallons of milk each week when he offers a sale price of $1.91 per gallon. Assume that the number of gallons sold S is a linear function of the price p per gallon.
a) Find a formula for the gallon sales, S(p), as a function of price p. (Don't include S in your answer.)
b) How many gallons would you expect to sell at $3.21 per gallon?

Answer & Explanation

Benedict

Benedict

Skilled2021-10-29Added 108 answers

Given that:
2654 gallons of milk at $2.41 per gallon
2954 gallons of milk at $1.91 per gallon
S is a linear function of the price p per gallon
Points (2.41, 2654) and (1.91, 2954)
S2654=295426541.912.41(P2.41)
The equation line is given by [yy1=y2y1x2x1(xx1)]
S-2654=-600(P-2.41)
S=-600P+1446+2654
S(P)=-600P+4100
at P=3.21
S(3.21)=-600*3.21+4100
S(3.21)=2174 gallon

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?