Question

Charlie sells beaded bracelets as a side job. Charlie will have a maximum profit of $12 when he sells 5 bracelets.

Construct Charlie’s profit function, p(x)

, to model his sales, in dollars, as a function of the number of bracelets he sells.

p(x)= [a](x−[h])2+[k]

Find [k]

−12

−5

12

5

Answer 1

Given that Charlie will have a maximum profit of $12 when he sells 5 bracelets, we can use this information to find the value of [k] in the profit function, p(x).

p(5) = 12
=> [a](5 - [h])^2 + [k] = 12
=> 25[a] - 10[h][a] + [k] = 12

Since we do not have the values of [a], [h], and [k], we can't fully solve for [k].