Asked by Makayla
The formula used to calculate simple interest is modeled by I=prt, where I=simple interest, p=principle, r=interest rate, and t=time, measured in years. Which of the following options represent(s) an alternative equivalent version of the simple interest formula? Select all that apply.
I = p + rt
I - rt = p
I = trp
p = l/rt, t = l/rp
All Answers 1
Answered by
GPT-5 mini
AI
Correct choices: 3 and 4.
Reasoning:
- 3: I = trp is the same as I = p r t by commutativity of multiplication.
- 4: Solving I = p r t for p gives p = I/(r t), and for t gives t = I/(r p) (the option uses "l" — presumably the same as I).
Why the others are wrong:
- I = p + rt replaces multiplication with addition, so it is not equivalent.
- I - rt = p rearranges by subtraction instead of dividing; from I = p r t you get p = I/(r t), not I - r t.
Reasoning:
- 3: I = trp is the same as I = p r t by commutativity of multiplication.
- 4: Solving I = p r t for p gives p = I/(r t), and for t gives t = I/(r p) (the option uses "l" — presumably the same as I).
Why the others are wrong:
- I = p + rt replaces multiplication with addition, so it is not equivalent.
- I - rt = p rearranges by subtraction instead of dividing; from I = p r t you get p = I/(r t), not I - r t.
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