Josephine is going on a run around the lake. She knows the distance around the lake, but she would like to complete her run in a certain amount of time. Josephine knows she can used the formula d = rt.
Which equation correctly rearranges the formula to find the time it will take her to run around the lake?

A. T= d/r
B. T= r/d
C. T=d + r
D. T=d-r

Hey there! I'm happy to help!

We want to see which of the formulas is a correct rearrangement of d=rt. To figure this out, we will solve each of our answer options for d. If d is equal to rt, then that option is the correct rearrangement.

OPTION A

t=d/r

We flip the equation around so d is on the left side.

d/r=t

We multiply both sides by r.

d=tr

Using the associative property, we see that d=tr is the same thing as d=rt.

We immediately see that this is the correct option. Therefore, the answer is A. T=d/r.

From the original d=rt, equation, we see that they solved for t by dividing both sides by r, giving you t=d/r.

Have a wonderful day! :D

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step-by-step explanation: