The owners of an audiovideo store have found that they can s

The owners of an audio-video store have found that they can sell 400 compact dix players per month at $300 per player. For each $5.00 drop in price, they can sell 10 more compact disc players. a. Express the gross sales as a function of each $5.00 decrease in price. b. What would the gross sales of compact disc players be for ten $5.00 decreases?

Solution

sell 400 compact dix players per month at $300 per player ----- ( $300 , 400)

each $5.00 drop in price, they can sell 10 more compact disc players----slope

1 no. $ 5.00 decrease ---- 10 disc increase

2 no. $ 5.00.00 decrease -----2x10

So,\' n\' no. of $ 5.00 decrease ----nx10 = 2n*(5)

a) So, Sales = 300 +2n*(5) ---- as a function $ 5 decrease

b) n= 10 nos. $ 5.00 decrease

Sales = 300 +2*10(5) = 300 + 100 = 400 disc