ANSWER
[tex]t = \frac{i}{pr} [/tex]
EXPLANATION
We were given that the amount of simple interest earned is given by the formula,
[tex]i = prt[/tex]
The above formula is an example of a literal equation.
We want to solve this formula for [tex]t[/tex].
But we can observe that the product of two letters [tex]pr[/tex] are multiplying the letter
[tex]t[/tex].
So we multiply both sides of the literal equation by the reciprocal of [tex]pr[/tex]which is [tex] \frac{1}{pr} [/tex] to obtain,
[tex]i \times \frac{1}{pr} = \frac{1}{pr} \times prt[/tex]
This implies that,
[tex] \frac{i}{pr} =t[/tex]
We can rewrite this as,
[tex] t = \frac{i}{pr} [/tex]
Therefore the correct answer is C.
