To calculate the interest that Carmen will earn in 3 years using the formula \( i = prt \), we can plug in the values:
- \( p = 90 \) (the principal amount)
- \( r = 0.10 \) (the interest rate as a decimal, which is 10%)
- \( t = 3 \) (the time in years)
Now, substitute these values into the formula:
\[ i = 90 \times 0.10 \times 3 \]
Calculating it step-by-step:
- Calculate \( 90 \times 0.10 = 9 \)
- Then, calculate \( 9 \times 3 = 27 \)
So, the interest earned over 3 years is:
\[ i = 27 \]
Carmen will earn $27 in interest in 3 years.