Question

Please Help!!!! Please!!! A candlemaker prices one set of scented candles at $10 and sells an average of 200 sets each week. He finds that when he reduces the price by $1, he then sells 50 more candle sets each week. A function can be used to model the relationship between the candlemaker's weekly revenue, R(x), after x one-dollar decreases in price. This situation can be modeled by the equation y = (blank)x2 + (blank) x + (blank) Thank you SO MUCH!

Answer 1

`y=-50x^2+300x+2000`.

Explanation:

It is given that a candle maker prices one set of scented candles at $10 and sells an average of 200 sets each week.

`Revenue=10* 200=2000`

If he reduces the price by $1,then he sells 50 more candle sets each week.

`Revenue=(10-1)* (200+50)=9* 250=2250`

If he reduces the price by x $1,then he sells 50x more candle sets each week.

`R(x)=(10-x)* (200+50x)`

`R(x)=10(200+50x)-x(200+50x)`

`R(x)=2000+500x-200x-50x^2`

`R(x)=-50x^2+300x+2000`

It can be written as

`y=-50x^2+300x+2000`

Therefore, the situation can be modeled by the equation
`y=-50x^2+300x+2000`.

Answer 2

This situation can be modeled by the equation y = -50 x2 + 300x + 2,000 and by graph Y.

Explanation:

Your welcum