Question

Which equation is equivalent to I = prt?

A. P = I + rt

B. P = Irt

C. P = I - rt

D. P = I/rt

Answer 1

The equation B. P = Irt is equivalent to I = prt. It rearranges the variables to solve for the principal amount.

Step-by-step explanation:

The equation I = prt represents the formula for calculating simple interest, where I is the interest, p is the principal amount, r is the interest rate, and t is the time in years.

To find an equation equivalent to I = prt, you need to isolate the variable p. The correct equation is B. P = Irt. This equation rearranges the variables to solve for the principal amount.

Answer 2

Answer: Choice D. P = i/rt

This is the same as saying P = i/(rt). The parenthesis are preferred in my opinion to indicate we have rt in the denominator and not just r.

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Step-by-step explanation:

In the original equation, prt is the same as p*r*t. So we multiply p, r and t to get prt.

This can be thought of as p*(rt). To isolate p, we undo the multiplication done to the variable p. We will divide both sides by rt to get

i = prt

i = p*(rt)

i/(rt) = p*(rt)/(rt) ... dividing both sides by rt

i/(rt) = p

p = i/(rt)