An electronics store charges $24 for a set of stereo headphones and has been selling about 1,000 of them a week .The store manager estimates that for every $1 price reduction, 100 more headphones can be sold per week . For example , he could sell 1,000 headphones at $23 each and 1,200 headphones at $22 each. Let 24-x be the reduced price , in dollars , per set of headphones . Which function best represents the total expected revenue in a week for these headphones ?

Options

A. f(x)=(24-x)(1,000+100x)
B. f(x)=(x-1)(1,000 + 24x)
C. f(x)=100(24-x) + 1,000
D. f(x)=(24)(1,000 + 100x) -x

Answer

A