SOLUTION: The temperature in a town varies by 15 degrees F. The average temperature is 73 degrees F. What is the correct absolute value equation?
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Question 1206359: The temperature in a town varies by 15 degrees F. The average temperature is 73 degrees F. What is the correct absolute value equation?
You can put this solution on YOUR website! Let x be the potential values of the temperatures between maxim and minimum
Average is73 deg
Variation is 15 deg
15=|x-73|
You can put this solution on YOUR website! .
The temperature in a town varies by 15 degrees F. The average temperature is 73 degrees F.
What is the correct absolute value equation?
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The solution given in the post by @mananth is incorrect.
I came to bring a correct solution
Let x be the potential values of the temperatures between maxim and minimum
Average is73 deg
Variation is 15 deg, which means deviation of 15/2 = 7.5 degrees in each directions from the average 73 degrees.
Thus the absolute value equation is
|x-73| = 7.5 degrees. ANSWER
Solved correctly.
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It is interesting !
Today, Jan.9,2026, I checked how Google AI Overview solves this problem.
It repeats incorrect solution by @mananth word-in-word.
Naturally, I reported to Google AI Overview about their mistake via their feedback system.
It confirms the idea that Google AI Overview is not able to think;
instead, it repeats what it finds in the Internet, without understanding the meaning.
It is even more interesting !
Today I posted this problem to another AI math site, math-gpt.org.
It produced the same wrong solution !
It shows that wrong solutions spread incredibly widely.
It also shows THE PRICE of each and every wrong solution in the era of "artificial intelligence".