Math

QuestionWhich extreme temperature in Rapid City, 19F-19^{\circ} \mathrm{F} or 92F92^{\circ} \mathrm{F}, is closer to the average of 45.2F45.2^{\circ} \mathrm{F}?

Studdy Solution

STEP 1

Assumptions1. The average temperature in Rapid City, South Dakota, is 45.45.^{\circ}. . The lowest temperature in2019 was 19-19^{\circ}.
3. The highest temperature in2019 was 9292^{\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.
Differencewithlowest=AveragetemperatureLowesttemperatureDifference\, 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.
Differencewithlowest=45.2(19)Difference\, with\, lowest =45.2^{\circ} - (-19^{\circ})

STEP 4

Calculate the difference between the average temperature and the lowest temperature.
Differencewithlowest=45.2(19)=64.2Difference\, 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.
Differencewithhighest=HighesttemperatureAveragetemperatureDifference\, 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.
Differencewithhighest=9245.2Difference\, with\, highest =92^{\circ} -45.2^{\circ}

STEP 7

Calculate the difference between the average temperature and the highest temperature.
Differencewithhighest=9245.2=46.Difference\, with\, highest =92^{\circ} -45.2^{\circ} =46.^{\circ}

STEP 8

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 64.264.2^{\circ} and the difference with the highest temperature is 46.846.8^{\circ}. Therefore, the highest temperature is closer to the average temperature.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord