Question

A store is having a sale where all jeans are $\frac{1}{4}$off the regular price.

Find the constant of proportionality, then write an equation relating the sale price to the regular price.

How much would a pair of$\$29$ jeans cost on sale?

Answer 1

Explanation for the correct answer:

Step-1: Given data.

A store is having a sale where all jeans are $\frac{1}{4}$ off the regular price.

Step-2: To find the cost of pair of jeans on sale:

Let $x$ be the regular price and $y$ be the sale price

Sale price $=$ regular price $-\frac{1}{4}$ of regulate price

$$\begin{gathered} y=x-\frac{1}{4}x \\ y=\frac{3}{4}x \end{gathered}$$

Equation relating the sale price to the regular price is

$y=\frac{3}{4}x$

The regular price of jeans is $\$29$.

so the sale price is

$y=\frac{3}{4}\times 29$

$y=21.75$

Therefore, sale price is $\$21.75$.