Question

You decide to make and sell bracelets. The cost of your materials is $\$84.00$. You charge $\$3.50$ for each bracelet. Write a function that represents the profit $\mathrm{P}$ for selling $\mathrm{b}$ bracelets.

Answer 1

Given : Cost price of material$=\$84$

Selling price for $1$ bracelet $=\$3.50$

$\therefore$Selling price for $\mathrm{b}$ bracelets $=\$3.50\mathrm{b}$

We know, Profit $=$ selling price $-$ cost

$$\begin{gathered} \Rightarrow \mathrm{P}=3.50\mathrm{b}-84 \\ =3.50\mathrm{b}-84 \end{gathered}$$

Hence, $\mathrm{P}=3.50\mathrm{b}-84$ is a function that represents the profit $\mathrm{P}$ for selling $\mathrm{b}$ bracelets.