Question

Which of the following equations is equivalent to S = rn?

A) n = S - 7
B) n = S / 12
C) n = S + ar^2
D) h = S + 12

Answer 1

The equivalent equation to S = rn is B) n = S / r, by rearranging the original equation and isolating n on one side.

Step-by-step explanation:

The task is to find an equation that is equivalent to S = rn. To do this, we need an equation that expresses n in terms of S and r. Examining option A) n = S - 7, we see it's not equivalent because the subtraction of 7 is not in the original equation. Option B) n = S / r, looks promising because if we rearrange S = rn by dividing both sides by r, we get n = S / r. Option C) n = S + ar^2, is not equivalent because it introduces new variables and an operation not present in the original equation. Finally, option D) h = S + 12, does not provide a relationship between n and S, and moreover, deals with a different variable, h. Therefore, the correct equivalent equation is B) n = S / r.