The formula for simple interest is I, equals, P, r, t, commaI=Prt, where II is the interest earned, PP is the principal, rr is the interest rate and tt is the number of years. Solve the formula for tt in terms of P, commaP, II and r, .r.

To solve the simple interest formula \( I = Prt \) for \( t \) in terms of \( P \), \( I \), and \( r \), follow these steps:

### Given formula:
\[
I = Prt
\]

### Solve for \( t \):
1. Divide both sides by \( P \) and \( r \):
\[
t = \frac{I}{Pr}
\]

So the formula for \( t \) in terms of \( I \), \( P \), and \( r \) is:
\[
t = \frac{I}{Pr}
\]

### Final expression:
\[
t = \frac{I}{Pr}
\]

Would you like any further details or explanations on this?

### Related Questions:
1. How would you use this formula to find the time if \( I = 100 \), \( P = 500 \), and \( r = 0.05 \)?
2. What happens if the interest rate \( r \) is given as a percentage instead of a decimal?
3. Can this formula be rearranged to solve for \( P \), the principal?
4. How does the formula change if the interest rate is compounded annually instead of simple interest?
5. How can you apply this formula to find the interest earned over 3 years?

### Tip:
Always convert percentage rates to decimals by dividing by 100 before applying them in formulas!

The formula for simple interest is I = Prt, where I is the interest earned, P is the principal, r is the interest rate, and t is the number of years. Solve the formula for t in terms of P, I, and r.

Learn how to solve the simple interest formula I = Prt for the time variable t in terms of principal (P), interest earned (I), and interest rate (r). This problem covers basic algebraic concepts and is suitable for students in Grades 7-10.

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