Math Problem Statement

Solve the interest formula I = prt for t.

Solution

The image shows the formula for simple interest:

I=prtI = prt

where:

  • II is the interest,
  • pp is the principal amount,
  • rr is the rate of interest, and
  • tt is the time.

The task is to solve for tt. To do that, we rearrange the equation to isolate tt:

t=Iprt = \frac{I}{pr}

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

t=Iprt = \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 rr affect the time tt needed to accumulate a fixed interest?
  5. What units should the time tt be in, based on the interest rate?

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

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Math Problem Analysis

Mathematical Concepts

Algebra
Simple Interest

Formulas

I = prt
t = I / (pr)

Theorems

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Suitable Grade Level

Grades 6-8