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

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

2. To isolate \( t \), divide both sides of the equation by \( P \cdot r \):
   \[
   t = \frac{I}{P \cdot r}
   \]

So, the solution for \( t \) is:
\[
t = \frac{I}{P \cdot r}
\]

Would you like further details or have any questions?

Here are 5 related questions:
1. If \( I = 100 \), \( P = 50 \), and \( r = 0.05 \), what is the value of \( t \)?
2. How does the formula \( t = \frac{I}{P \cdot r} \) change if \( r \) is expressed as a percentage?
3. What happens to \( t \) if both \( P \) and \( r \) double?
4. Can you derive a formula for \( P \) in terms of \( I \), \( r \), and \( t \)?
5. If \( t \) 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.

Learn how to solve for t in the simple interest formula I = P * r * t. This step-by-step guide breaks down the algebraic manipulation needed to isolate t, with a practical example for clarity. Suitable for students in Grades 9-11.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation