Question

A florist currently makes a profit of $20 on each of her celebration bouquets and sells an average of 30 bouquets every week. She noticed that when she reduces the price such that she earns $1 less in profit from each bouquet, she then sells three more bouquets per week. The relationship between her weekly profit, P(x), after x one-dollar decreases

Answer 1

Solution: P(X)=(20-X)*(30+3x)

Analysis: We know X= dollar decreases. And we have the statements:

We have an initial profit of $ 20. For each X dollar we decrease in profit, the amount of bouquets per week increase three.

So we have part of the equation:

P(X)=Profit* Amount of bouquets.

Profit =(20-x)

Amount of bouquets (30+3x)

`\begin{gathered} P(x)=(20-x)(30+3x) \\ P(x)=600+\bar{60x}-30x-3x^2 \\ P(x)=-3x^2+30x+600 \end{gathered}`