Question

Kimberly received $75 in interest on $1500 in her bank account. If the interest varies directly with the amount deposited, what equation represents this situation?

Answer 1

Answer:

$I=\frac{1}{20}A$

Step-by-step explanation:

Let $I$ represent interest and $A$ represent the amount.

Then we were given that: "the interest varies directly with the amount deposited".

This is written symbolically as:

$I\propto A$

When we introduce the constant of proportionality; we get:

$I=kA$

From the question, when I=75, A=1500.

We substitute and solve for k.

$75=1500k$

$\implies k=\frac{75}{1500}\\ \impies k=\frac{1}{20}$

Hence the required equation is $I=\frac{A}{20}$