Math Problem Statement
Solve the interest formula I = prt for t.
Solution
The image shows the formula for simple interest:
where:
- is the interest,
- is the principal amount,
- is the rate of interest, and
- is the time.
The task is to solve for . To do that, we rearrange the equation to isolate :
Thus, the formula for time () in terms of interest, principal, and rate is:
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:
- What is the relationship between time and interest when the principal and rate are constant?
- How would you use this formula if you had all the other variables?
- Can this formula be applied for compound interest? Why or why not?
- How does changing the rate affect the time needed to accumulate a fixed interest?
- What units should the time be in, based on the interest rate?
Tip: Always make sure the units of rate and time 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
-
Suitable Grade Level
Grades 6-8