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Answer :
Final answer:
The correct equation to find the temperature in Bangor, Maine, given the temperature in Miami, Florida, is 3x + 22 = 82. After solving, the temperature in Bangor is found to be 20 degrees Fahrenheit.
Explanation:
The temperature in Miami, Florida is given as 82 degrees Fahrenheit. According to the problem statement, this temperature is 22 degrees warmer than three times the temperature in Bangor, Maine. Thus, we can express this relationship algebraically as:
Miami temperature = 3 × Bangor temperature + 22
Substituting the known Miami temperature into the equation, we have:
82 = 3 × Bangor temperature + 22
To solve for the temperature in Bangor, we need to subtract 22 from both sides of the equation:
82 - 22 = 3 × Bangor temperature
60 = 3 × Bangor temperature
Finally, divide both sides by 3 to get the temperature in Bangor:
Bangor temperature = 60 / 3
Bangor temperature = 20 degrees Fahrenheit
Therefore, the correct equation to determine the temperature in Bangor is:
3x + 22 = 82
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Final answer:
The equation to determine the temperature in Bangor is 3x + 22 = 82. Solving the equation gives the temperature in Bangor as 20 degrees.
Explanation:
To write an equation to determine the temperature in Bangor, let's assume the temperature in Bangor is represented by the variable 'x'. The temperature in Miami is 22 degrees warmer than three times the temperature in Bangor. So, we can write the equation as follows:
3x + 22 = 82
Now, to find the temperature in Bangor, we need to solve for 'x'. We can do this by subtracting 22 from both sides:
3x = 82 - 22
3x = 60
Finally, divide both sides of the equation by 3 to solve for 'x':
x = 60 ÷ 3
x = 20
Therefore, the temperature in Bangor is 20 degrees.
