I need some help on this question can you please help

Given:
The interest on an investment varies directly as the rate if interest.
Assume that, the interest is $49 when the interest rate is 5%.
To find the interest when the rate is 9.9%
So, it can be written as,
[tex]\begin{gathered} \frac{0.05}{49}=\frac{0.099}{x} \\ 0.05x=0.099\times49 \\ x=\frac{0.099\times49}{0.05} \\ =97.02 \end{gathered}[/tex]Hence, the interest when rate is 9.9% is $97.02.