Math Snap

STEP 1

Assumptions1. The average temperature in Rapid City, South Dakota, is $45.^{\circ}$.
. The lowest temperature in2019 was $-19^{\circ}$.
3. The highest temperature in2019 was $92^{\circ}$.

STEP 2

First, we need to find the difference between the average temperature and the lowest temperature. This can be done by subtracting the lowest temperature from the average temperature.
$$Difference\, with\, lowest = Average\, temperature - Lowest\, temperature$$

STEP 3

Now, plug in the given values for the average temperature and the lowest temperature to calculate the difference.
$$Difference\, with\, lowest =45.2^{\circ} - (-19^{\circ})$$

STEP 4

Calculate the difference between the average temperature and the lowest temperature.
$$Difference\, with\, lowest =45.2^{\circ} - (-19^{\circ}) =64.2^{\circ}$$

STEP 5

Next, we need to find the difference between the average temperature and the highest temperature. This can be done by subtracting the average temperature from the highest temperature.
$$Difference\, with\, highest = Highest\, temperature - Average\, temperature$$

STEP 6

Now, plug in the given values for the average temperature and the highest temperature to calculate the difference.
$$Difference\, with\, highest =92^{\circ} -45.2^{\circ}$$

STEP 7

Calculate the difference between the average temperature and the highest temperature.
$$Difference\, with\, highest =92^{\circ} -45.2^{\circ} =46.^{\circ}$$

Now, we compare the two differences. The smaller difference indicates the temperature that is closer to the average.
The difference with the lowest temperature is $64.2^{\circ}$ and the difference with the highest temperature is $46.8^{\circ}$. Therefore, the highest temperature is closer to the average temperature.