Temperature: The temperature in Coldspot is -7° and is increasing 2.5° per hour. The temperature in Frostberg is 19° and is decreasing 4° per hour. How long will it be until the temperatures are the same? Write and solve an equation the represents the scenario.

It will be 4 hours until the temperatures are the same

Step-by-step explanation:

Let represent the temperature in Coldspot in hours and

represent the temperature in Frostberg in hours.

From the question,

The temperature in Coldspot is -7° and is increasing 2.5° per hour, then we can write that

Also, from the question,

The temperature in Frostberg is 19° and is decreasing 4° per hour, then we can write that

To determine how long it will be until the temperatures are the same, that is when will be equal to , we will equate the two equations and determine .

will give the number of hours until the temperatures are the same.

Then,

∴

Hence, it will be 4 hours until the temperatures are the same.

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