An outdoor thermometer reads -11 degrees Fahrenheit. If the temperature decreases less than 5 degrees Fahrenheit over the next two hours, what might the thermometer read at the end of the two hours?
@phi
There are lots of possibilities.
If it decreases exactly 5 degrees ( which means gets 5 degrees colder) it would be -11-5= -16 degrees (16 degrees below 0) any number above that could happen
What I am confused with is when it says "decreases less than 5 degrees Fahrenheit over the next two hours". What does that mean?
\[x \ge-16~but <-11\]
decreases means colder. If you have 35º and it decreases 5º, it would go to 35-5= 30 if it decreases less than 5º that means it decreases (gets colder) but it does get 5 degrees colder. less than 5 means any number "less than 5" (example 4.9 or 4 or 3.1 etc)
mentioning "over 2 hours" does not mean much except to confuse the problem.
Same dilemma.
As for the answer, it depends on what they are looking for. surji thinks they want a relation (good answer). or they might want you to select an answer from a list of choices?
@phi But there isn't any options on this problem.
@surjithayer Can you explain your method for me?
then use surji's answer. It is the most accurate.
though I would write it -16 < x < -11
How would I solve for x?
You don't solve for x. If we call the temperature x, the answer to the question of what might the thermometer read at the end of the two hours? i.e. what is x at the end of two hours? all we can say is -16< x < -11 assuming the temperature *decreases* by some amount more than 0 but less than 5 degrees
in other words -16< x < -11 is a way to say, " the temperature will be between -16 and -11 degrees"
How should I write the answer to the questions?
can you post the exact question? Unless I know otherwise, I would answer it the way I just answered it.
I wrote it. This was the question @phi
and what is the point of the question? It could be written more clearly. Vague questions get vague answers.
@agent0smith
This has already been answered...
So where was the answer?
Was the answer -16?
-16< x < -11 or pick any number in that range. "what might the thermometer read?" it might read -13.
I have another question: can i write it as -15, -14, -13, and -12 might be the possible temperatures after two hours @agent0smith
@phi
there are infinite values between -16 and -11
Depends if the thermometer shows only whole numbers
If you say the thermometer is DIGITAL and only shows integer degrees. But some thermometers show a red line of mercury and you read the height of the line (which in theory could read any number)
can those four numbers be valid even in this case of the thermometer?
The other problem is "If the temperature decreases less than 5 degrees Fahrenheit " is not clear. decreases less than 5 could mean it decreases 0 degrees... and one could argue it could mean the temperature actually warmed. Vague is bad.
**can those four numbers be valid even in this case of the thermometer? ** yes, they are valid. But they are not the only valid numbers it could read.
Your question is bad and you should feel bad. http://www.youtube.com/watch?v=jG2KMkQLZmI
well i was not the one who made this question. it was assigned for hw.
just watch the video :P
i saw
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