Answer :
Given:
An Exhibitor is selling decorative wreaths at an arts and craft show.
The net profit P in dollars from the sales of the Wreaths is given by [tex]P(n)=0.75n-50[/tex] , where N is the number of wreaths sold.
We need to determine the number of wreaths sold to earn a net profit of $100.
Number of wreaths sold:
The number of wreaths sold to earn a profit of $100 can be determined by substituting P(n) = 100 in the equation [tex]P(n)=0.75n-50[/tex], we get;
[tex]100=0.75n-50[/tex]
[tex]150=0.75n[/tex]
[tex]\frac{150}{0.75}=n[/tex]
[tex]200=n[/tex]
Thus, the number of wreaths sold is 200.