Question

a store buys 7 sweaters for $63 and sells them for $231. if p represents the total profit in dollars and cents when the store buys any number of sweaters, s, write a proportional equation for p in terms of s that matches the context.

Explanation:

Step1: Find cost per sweater

The store buys 7 sweaters for $63, so cost per sweater is $\frac{63}{7} = 9$ dollars.

Step2: Find selling price per sweater

The store sells 7 sweaters for $231, so selling price per sweater is $\frac{231}{7}=33$ dollars.

Step3: Find profit per sweater

Profit per sweater is selling price per sweater minus cost per sweater, so $33 - 9 = 24$ dollars.

Step4: Write proportional equation

Since profit $p$ is proportional to the number of sweaters $s$, and profit per sweater is 24, the equation is $p = 24s$.

Answer:

$p = 24s$