To determine which equation is equivalent to the formula [tex]\( d = rt \)[/tex], we need to rearrange the given formula to isolate the variable [tex]\( r \)[/tex]. Here’s the step-by-step process:
1. Start with the original equation:
[tex]\[ d = rt \][/tex]
2. Rearrange the equation to solve for [tex]\( r \)[/tex]:
[tex]\[ r = \frac{d}{t} \][/tex]
By isolating [tex]\( r \)[/tex] on one side of the equation, we find that [tex]\( r = \frac{d}{t} \)[/tex].
Thus, the correct option is:
[tex]\[ r = \frac{d}{t} \][/tex]
So, out of the given options:
- [tex]\( r = \frac{d}{t} \)[/tex]
- [tex]\( r = dt \)[/tex]
- [tex]\( t = \frac{r}{d} \)[/tex]
- [tex]\( t = dr \)[/tex]
The correct answer is:
[tex]\[ \boxed{r = \frac{d}{t}} \][/tex]
