https://file.aiquickdraw.com/mathbot/file/1727099870247cdsndhdo.jpg

The image shows the formula for simple interest:

\[
I = prt
\]

where:
- \( I \) is the interest,
- \( p \) is the principal amount,
- \( r \) is the rate of interest, and
- \( t \) is the time.

The task is to solve for \( t \). To do that, we rearrange the equation to isolate \( t \):

\[
t = \frac{I}{pr}
\]

Thus, the formula for time (\( t \)) in terms of interest, principal, and rate is:

\[
t = \frac{I}{pr}
\]

Would you like to see more examples or a further explanation of how to manipulate this equation?

Here are 5 follow-up questions based on this:

1. What is the relationship between time and interest when the principal and rate are constant?
2. How would you use this formula if you had all the other variables?
3. Can this formula be applied for compound interest? Why or why not?
4. How does changing the rate \( r \) affect the time \( t \) needed to accumulate a fixed interest?
5. What units should the time \( t \) be in, based on the interest rate?

**Tip:** Always make sure the units of rate \( r \) and time \( t \) are consistent (e.g., if the rate is annual, time must be in years).

Solve the interest formula I = prt for t.

Learn how to solve the simple interest formula I = prt for time (t) using basic algebra. This example breaks down how to rearrange the formula to isolate t. Suitable for students in Grades 6-8.

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