Question

the average temperatures for two of the worlds hottest places are given. determine which location has the warmer average temperature and by how many degrees fahrenheit.
location a: 87.2°f and location b: 30.4°c
the location with the warmer average temperature is which is warmer by about °f.
(round to the nearest tenth of a degree as needed.)

Explanation:

Step1: Convert Celsius to Fahrenheit

Use the formula \(F=\frac{9}{5}C + 32\). For location B with \(C = 30.4\), we have \(F=\frac{9}{5}\times30.4+32\).
First, calculate \(\frac{9}{5}\times30.4=9\times6.08 = 54.72\). Then \(F=54.72 + 32=86.72\approx86.7^{\circ}F\).

Step2: Compare temperatures

Location A has \(T_A = 87.2^{\circ}F\) and location B has \(T_B\approx86.7^{\circ}F\).
Since \(87.2>86.7\), location A is warmer.

Step3: Calculate the difference

The difference \(\Delta T=87.2 - 86.7=0.5^{\circ}F\).

Answer:

Location A; \(0.5\)