https://file.aiquickdraw.com/mathbot/file/1727381475832yzmkn3uu.jpg

The equation provided in the image is:

\[
s = \frac{2d}{t}
\]

We are asked to solve for \( d \).

To do that, let's isolate \( d \) step by step:

1. Multiply both sides of the equation by \( t \) to get rid of the denominator:
   \[
   s \cdot t = 2d
   \]

2. Now, divide both sides by 2 to solve for \( d \):
   \[
   d = \frac{s \cdot t}{2}
   \]

Thus, the solution is:

\[
d = \frac{s \cdot t}{2}
\]

Would you like more details on any step or additional questions? 

Here are five related questions:
1. If \( s = 5 \) and \( t = 4 \), what is the value of \( d \)?
2. How would the equation change if the expression was \( s = \frac{3d}{t} \)?
3. Can you solve for \( t \) in terms of \( s \) and \( d \)?
4. What is the physical interpretation of \( s \), \( t \), and \( d \) if this represents a motion equation?
5. How does changing \( t \) affect the value of \( d \) if \( s \) is constant?

**Tip:** When solving for a variable, remember to always perform inverse operations to isolate the variable step by step.

Learn how to solve for d in the equation s = 2d / t using algebraic manipulation. This problem introduces key concepts in isolating variables and applying inverse operations, making it suitable for students in Grades 7-9.

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