Question

A company manufactures and sells mini-recorders. A survey of office supply stores indicated that at a price of $82 each, the demand would be four hundred recorders, and at a price of $42 each, the demand would be nine hundred recorders. If a linear relationship between price and demand exists, which of the following equations models the price-demand relationship?

(Let x represent the price per mini-recorder and y represent the demand in hundreds.)

A. Y= -1/8x + 57/4
B. Y= -8x - 114
C. Y= -1/8x - 57/4
D. Y= -8x + 114

Answer 1

The first one. Substitute both $82 and $42 to get the 4 and 9 hundreds.

Y = -1/8*82+57/4 = 4 hundreds