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A neighboring town, Mickston, reaches its coldest temperature at the same time as Kentville every year, but Mickston’s coldest low temperature is 6.5° warmer than Kentville’s coldest low temperature. Mickston’s low temperature only rises 2°F per week. After approximately how many weeks will Kentville’s low temperature be warmer than Mickston’s low temperature?

User Jittakal
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Final answer:

The question requires calculating how many weeks will pass until Kentville's low temperature is warmer than Mickston's, given Mickston's temperature rises by 2°F per week and is initially 6.5° warmer. However, without knowing Kentville's rate of temperature change, we cannot solve this problem.

Step-by-step explanation:

The student's question pertains to comparing the rate at which temperatures change in two neighboring towns, Mickston and Kentville, and determining after how many weeks Kentville's temperature will be warmer than Mickston's. To answer this, we set up a scenario algebraically where we allow x to represent the number of weeks. We know that Mickston's temperature rises by 2°F per week, while we do not know the weekly temperature change for Kentville. However, we do know that initially, Mickston's low temperature is 6.5° warmer than Kentville's.

Let's denote Kentville's initial coldest low temperature as K, and therefore Mickston's initial temperature will be K + 6.5. After x weeks, Mickston's temperature will be K + 6.5 + 2x.

To find out after how many weeks Kentville's temperature will be warmer, we need to determine the rate at which Kentville's temperature changes, which unfortunately is not provided in the question. Without this information, we cannot mathematically calculate after how many weeks Kentville's temperature will exceed Mickston's.

User Cherubim
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