Question

a sneaker store raised its prices 15% compared to last year.
if x is the price before the increase and y is the price after the increase, which equations are correct?

Explanation:

Step1: Define the price increase

The 15% increase on original price $x$ is $0.15x$.

Step2: Relate new price to original

The new price $y$ equals original price plus increase.
$y = x + 0.15x$

Step3: Simplify the equation

Combine like terms for the total price.
$y = 1.15x$

Step4: Rearrange to solve for x

Isolate $x$ by dividing both sides by 1.15.
$x = \frac{y}{1.15}$

Answer:

The correct equations are $\boldsymbol{y = 1.15x}$ and $\boldsymbol{x = \frac{y}{1.15}}$ (or equivalent forms like $y = x + 0.15x$)