Question

N 2011, the average daily temperature in Darrtown was 65°F. In 2012, the average daily temperature increased by 3% but then decreased by 4.5% in 2013.

What was the daily average temperature in Darrtown in 2013?

Answer 1

To determine the daily average temperature in Darrtown in 2013, we first calculate the temperature for 2012 after a 3% increase from 65°F, and then apply a 4.5% decrease. The resulting average temperature for 2013 is approximately 63.9°F.

Step-by-step explanation:

The student has asked about the daily average temperature in Darrtown for the year 2013, considering the average temperature for 2011 was 65°F with an increase of 3% in 2012, followed by a decrease of 4.5% in 2013.

To calculate the average temperature for 2013, we follow these steps:

1. Calculate the new average temperature for 2012 by increasing 65°F by 3%.
   65 °F + (3/100) × 65 °F = 65 °F + 1.95 °F = 66.95 °F
2. Calculate the average temperature for 2013 by decreasing 66.95°F by 4.5%.
   66.95 °F - (4.5/100) × 66.95 °F = 66.95 °F - 3.01275 °F = 63.93725 °F
3. Round the result to a reasonable accuracy for temperature, which is generally to the nearest tenth of a degree.
   The daily average temperature in Darrtown in 2013 was approximately 63.9°F.