Answer:
![m=27](https://img.qammunity.org/2021/formulas/mathematics/high-school/wecgaj7tjedqtqy5pfl10zwpvty139ozrl.png)
Explanation:
When something is directly proportional, it means that:
, where
is some constant (number).
We are given that
is directly proportional to
, and
when
.
So, we have...
![m=kn^2](https://img.qammunity.org/2021/formulas/mathematics/high-school/q4hdazbhh5elb972kd7keysrtdmdgcdesb.png)
![75=k(5)^2](https://img.qammunity.org/2021/formulas/mathematics/high-school/ry92h81t6948wby2l4090urh0e43iiza69.png)
![75=25k](https://img.qammunity.org/2021/formulas/mathematics/high-school/44aww8n4tjtytxm60c4p57mnpzeq5aq7n8.png)
![k=3](https://img.qammunity.org/2021/formulas/mathematics/high-school/egrmq8i1mfyn15jhgnhhaa1b4gb36ykrl9.png)
So the full equation is:
![m=3n^2](https://img.qammunity.org/2021/formulas/mathematics/high-school/pg4kdi0k55mvxjjfo24zab63ui113r0s9y.png)
Now, to find the answer when
, simply put 3 into the equation.
Which gives:
![m=27](https://img.qammunity.org/2021/formulas/mathematics/high-school/wecgaj7tjedqtqy5pfl10zwpvty139ozrl.png)
Final answer: m=27.