Answer :
Answer:
[tex]I=\frac{1}{20}A[/tex]
Step-by-step explanation:
Let [tex]I[/tex] represent interest and [tex]A[/tex] represent the amount.
Then we were given that: "the interest varies directly with the amount deposited".
This is written symbolically as:
[tex]I\propto A[/tex]
When we introduce the constant of proportionality; we get:
[tex]I=kA[/tex]
From the question, when I=75, A=1500.
We substitute and solve for k.
[tex]75=1500k[/tex]
[tex]\implies k=\frac{75}{1500}\\ \impies k=\frac{1}{20}[/tex]
Hence the required equation is [tex]I=\frac{A}{20}[/tex]