Question

The formula i = prt where i = interest, p= principal, r= rate, and t= time is used to calculate the amount of simple interest earned. solve this formula for t.
a. t= i pr
b. t = i - pr
c. t = i/pr
d. t= ipr

Answer 1

ANSWER

$t = \frac{i}{pr}$

EXPLANATION

We were given that the amount of simple interest earned is given by the formula,

$i = prt$

The above formula is an example of a literal equation.

We want to solve this formula for $t$.

But we can observe that the product of two letters $pr$ are multiplying the letter
$t$.

So we multiply both sides of the literal equation by the reciprocal of $pr$which is $\frac{1}{pr}$ to obtain,

$i \times \frac{1}{pr} = \frac{1}{pr} \times prt$

This implies that,

$\frac{i}{pr} =t$

We can rewrite this as,

$t = \frac{i}{pr}$

Therefore the correct answer is C.