Problem 72 - Introductory Algebra for College Students

Question

Solve by writing a sum of signed numbers and adding. In Spearfish, South Dakota, on January \(22,1943,\) the temperature rose 49 degrees in two minutes. If the initial temperature was \(-4^{\circ} \mathrm{F},\) what was the temperature two minutes later?

Step-by-Step Solution

Answer

The temperature two minutes later was \(45^{\circ}F\).

Step 1: Identify Initial Temperature

Note the current temperature, in this case, it’s \(-4^{\circ}F\). So, the initial temperature is \(-4^{\circ}F\).

Step 2: Identify Change in Temperature

Recognize the given increase in temperature, which is \(49^{\circ}F\). This means the temperature rose by 49 degrees. In mathematical terms, this is represented as \(+49^{\circ}F\).

Step 3: Add the Initial And Change in Temperatures

Add the original temperature to the change in temperature. Do this by adding \(-4^{\circ}F + 49^{\circ}F\). The result from this addition provides the temperature two minutes later.