Kye

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 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)
$S-2654=\frac{2954-2654}{1.91-2.41}\left(P-2.41\right)$
The equation line is given by $\left[y-y1=\frac{y2-y1}{x2-x1}\left(x-x1\right)\right]$
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

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