## Related questions with answers

A credit card promotion offers a discount on all purchases made with the card. The discount is directly proportional to the size of the purchase. If you save $1.35 on a$20 purchase, how much will you save on a $173 purchase?

Solution

VerifiedThe variation equation is

$d=ks$

where $k$ represents the constant of variation, $d$ is the discount and $s$ the size of the purchase.

First, find the constant of variation.

To find the constant of variation, substitute in the variation equation $1.35$ for $d$ and $20$ for $s$.

$\begin{align*} 1.35&=k\cdot20&&\text{Divide both sides by $20$.}\\ \dfrac{1.35}{20}&=k\\ k&=0.0675 \end{align*}$

The constant of variation is $0.0675$.

Now, substitute in the variation equation $173$ for $s$ and $0.0675$ for $k$ to find $d$.

$\begin{align*} d&=0.0675\cdot173\\ d&=11.6775 \end{align*}$

You will save $\$11.6775$ on a $\$173$ purchase.

## Create a free account to view solutions

## Create a free account to view solutions

## Recommended textbook solutions

#### Big Ideas Math Algebra 2: A Common Core Curriculum

1st Edition•ISBN: 9781608408405 (2 more)Boswell, Larson#### Big Ideas Math: Algebra 2 A Common Core Curriculum

1st Edition•ISBN: 9781642088052Laurie Boswell, Ron Larson## More related questions

1/4

1/7