The average temperature, in degrees Fahrenheit, in the month of July in Clark City is 4 times the average temperature in the month of February. If the average temperature in July was 82 degrees, which of the following equations could be used to determine the average temperature in February \((t)\) ? A. \(t+4=\frac{82}{4}\) B. \(4 t=82\) C. \(\frac{t}{4}=21\) D. \(4 t=21\)

Short Answer

Expert verified
Option B: \(4t = 82\)

Step by step solution

01

Define variables

Let's denote the average temperature in February as \(t\) and the average temperature in July as 82.
02

Set up the relationship between temperatures

According to the given information, the average temperature in July is 4 times the average temperature in February. Therefore, we can write this relationship as: \(4t = 82\)
03

Match the relationship with the given options

Now, we need to match this equation with one of the given options. We can see that this equation matches most closely with option B: \(4t = 82\) So, the correct equation that represents the relationship between the average temperatures in February and July is:
04

Final answer

Option B: \(4t = 82\)

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