Math Problem Statement

I=Prt; solve for t

Solution

To solve for tt in the equation I=PrtI = P \cdot r \cdot t, follow these steps:

  1. The given equation is: I=PrtI = P \cdot r \cdot t

  2. To isolate tt, divide both sides of the equation by PrP \cdot r: t=IPrt = \frac{I}{P \cdot r}

So, the solution for tt is: t=IPrt = \frac{I}{P \cdot r}

Would you like further details or have any questions?

Here are 5 related questions:

  1. If I=100I = 100, P=50P = 50, and r=0.05r = 0.05, what is the value of tt?
  2. How does the formula t=IPrt = \frac{I}{P \cdot r} change if rr is expressed as a percentage?
  3. What happens to tt if both PP and rr double?
  4. Can you derive a formula for PP in terms of II, rr, and tt?
  5. If tt is negative, what does it mean in the context of this formula?

Tip: When solving equations, isolating the variable requires performing the inverse operation on both sides of the equation to maintain equality.

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Math Problem Analysis

Mathematical Concepts

Algebra
Solving Linear Equations
Interest Formulas

Formulas

I = P * r * t
t = I / (P * r)

Theorems

Basic Algebraic Manipulation

Suitable Grade Level

Grades 9-11