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

Answer:

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

Step-by-step 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.  

$Revenue=10\times 200=2000$

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

$Revenue=(10-1)\times (200+50)=9\times 250=2250$

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

$R(x)=(10-x)\times (200+50x)$

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

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

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

It can be written as

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

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