To determine the correct answer, we need to analyze the situation described.
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Initial Savings Rate: You save $100 in 5 months. This means that over 15 months (which is 3 times 5 months), you would save: \[ 100 \times 3 = 300 \]
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Changing Savings to $110: If you now save $110 in 5 months, then over 15 months, you would save: \[ 110 \times 3 = 330 \]
Now let's analyze the options provided to see which one fits:
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Option A states in 15 months you will save $300 if you change your savings to $110 your total savings will increase.
(Incorrect because $330 > $300, so it will increase.) -
Option B states in 15 months you will save $500 if you change your savings to $110 your total savings will increase.
(Incorrect because the calculation shows $330, not $500.) -
Option C states in 15 months you will save $285 if you change your savings to $110 your total savings will increase.
(Incorrect because the calculation shows $330, not $285.) -
Option D states in 15 months you will save $300 if you change your savings to $110 your total savings will decrease.
(Incorrect because you will save $330, which is an increase.)
None of the options seem entirely correct based on the calculations. However, if asked to choose the one that has the closest reasoning, it would seem that we need an answer that acknowledges an increase rather than a decrease, thus none of the given answers are factually correct based on the context given. If we could provide an option, it should clarify that your total savings increase from $300 to $330.
That said, based solely on the summaries given, there isn't an answer in A, B, C, or D that is accurate. But if I had to select based on the closest numbers reported in the context (and assuming a simple calculation), option A (though incorrect, indicates the savings amount of $300) might be the most favorable choice concerning stated saving amounts.
Always double-check against the context of your problem for accuracy!