Solve the formula d = rt for r.
Understand the Problem
The question is asking to solve the formula d = rt for the variable r, which represents the rate. We will isolate r on one side of the equation.
Answer
$$ r = \frac{d}{t} $$
Answer for screen readers
The value of ( r ) is given by the formula:
$$ r = \frac{d}{t} $$
Steps to Solve
- Identify the initial equation
We start with the formula given in the problem:
$$ d = rt $$
where ( d ) is distance, ( r ) is rate, and ( t ) is time.
- Isolate the variable r
To isolate ( r ), we will divide both sides of the equation by ( t ):
$$ \frac{d}{t} = \frac{rt}{t} $$
On the right side of the equation, ( t ) cancels out.
- Simplify the equation
This simplifies to:
$$ \frac{d}{t} = r $$
Thus, we have successfully isolated ( r ).
The value of ( r ) is given by the formula:
$$ r = \frac{d}{t} $$
More Information
This formula ( r = \frac{d}{t} ) is commonly used in physics and mathematics to find the rate when distance and time are known. It helps in understanding how speed is calculated based on distance traveled over time taken.
Tips
- Confusing Variables: It's easy to mix up ( r ), ( d ), and ( t ). Remember that ( r ) is what we're solving for, while ( d ) and ( t ) are given.
- Incorrect Division: While isolating ( r ), ensure that you divide both sides of the equation by ( t ) correctly. If you forget, you'll arrive at an incorrect expression.
AI-generated content may contain errors. Please verify critical information
