Let's break down and solve the two equations provided in the image.

1. In $d = rt$, solve for $r$:

   The equation is $d = rt$, where:

   • $d$ is the distance,
   • $r$ is the rate (or speed),
   • $t$ is the time.

   To solve for $r$, divide both sides of the equation by $t$:

   $r = \frac{d}{t}$

2. In $I = Pr$, solve for $P$:

   The equation is $I = Pr$, where:

   • $I$ is the current,
   • $P$ is some parameter (possibly power in some contexts),
   • $r$ is another variable (likely a rate or constant).

   To solve for $P$, divide both sides of the equation by $r$:

   $P = \frac{I}{r}$

Would you like further details or explanations on these steps?

Here are five related questions:

1. How would you solve for $t$ in the equation $d = rt$?
2. What happens if one of the variables in either equation equals zero?
3. Can these equations be used for real-world applications? If so, how?
4. How do you apply dimensional analysis to check if these equations are dimensionally consistent?
5. What are other formulas involving rates that follow a similar structure?

Tip: When solving for a variable, always aim to isolate it by performing inverse operations on both sides of the equation.