# Kevin earned $165 interest for 1 year on an investment of $1500. At the same rate, what amount of interest would be earned by an investment of $2500?

At the same rate of interest, and period, the interest earned will be proprtional to the original principle. Therefore, you can multiply $165 by 2500/1500 (or 5/3) to get the answer.

## To find the amount of interest earned by an investment of $2500 at the same rate, you can use the proportion:

Interest1/Principal1 = Interest2/Principal2

Let's assign the values:

Interest1 = $165

Principal1 = $1500

Principal2 = $2500

Using the proportion, we have:

$165/$1500 = Interest2/$2500

To find Interest2, we can cross-multiply:

$165 * $2500 = $1500 * Interest2

Now, solve for Interest2:

$165 * $2500 = $1500 * Interest2

Interest2 = ($165 * $2500) / $1500

Interest2 = $412,500 / $1500

Interest2 = $275

Therefore, an investment of $2500 would earn $275 in interest at the same rate.