Sale of gloves

[mikey3891]

Can someone help with this question.

A clothing store sells gloves for $50 per pair. The store averages sales of 90 pairs each week. The store owner's past experience leads him to believe that for each $2 increase in the price of the gloves, one less pair would be sold each
week. What price would result in $5100 weekly sales?

 

[stapel]

A clothing store sells gloves for $50 per pair. The store averages sales of 90 pairs each week. The store owner's past experience leads him to believe that for each $2 increase in the price of the gloves, one less pair would be sold each week. What price would result in $5100 weekly sales?

Scroll down to the bottom of this page and follow the reasoning and methodology for your set-up. You've got a simpler situation, where you're just setting equal to "5100" and solving (rather than finding the max/min point), but the set-up is pretty much the same.

If you get stuck, please reply showing all of your work and reasoning so far. Thank you!