Question

1. a student received a coupon for 14% off the total purchase price at a clothing store. let c be the original price of the purchase. the expression ( c - 0.14c ) represents the new price of the purchase. write an equivalent expression to show another way to represent the new price.

Explanation:

Step1: Analyze the original expression

The original expression is $c - 0.14c$. Here, $c$ is the original price and $0.14c$ is the discount (14% of the original price).

Step2: Factor out $c$

Using the distributive property $ac - bc=(a - b)c$, we can factor out $c$ from $c - 0.14c$. So we have $c(1 - 0.14)$.

Step3: Calculate the value inside the parentheses

Calculate $1 - 0.14 = 0.86$.

Step4: Write the simplified expression

Substituting back, we get $0.86c$.

Answer:

$0.86c$