Translate word problem to equation

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The relationship between temperature and chirps per minute is linear, with specific values given for 70°F and 80°F. The correct approach to finding the slope involves placing temperature as the independent variable and chirps per minute as the dependent variable. This means the change in temperature should be on the top and the change in chirps on the bottom when calculating the slope. The problem's phrasing indicates that chirps per minute is a function of temperature, clarifying the relationship. Understanding the context of the problem is essential for correctly setting up the equation.
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Homework Statement


We know relationship between temp and number of chirps per minute is linear. 113 chirps per minute at a 70degrees F. 173 chirps per minute at 80 degrees F.


Homework Equations


In this problem why do we put degrees on top of chirps in finding the slope.


The Attempt at a Solution


I understand that it would be 80-70/(173-113) because my original answer didnt seem right. I am just curious as to how to know logically through the problem that I would put the chirps on bottom not on top to begin with
 
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brycenrg said:

Homework Statement


We know relationship between temp and number of chirps per minute is linear. 113 chirps per minute at a 70degrees F. 173 chirps per minute at 80 degrees F.

Homework Equations


In this problem why do we put degrees on top of chirps in finding the slope.

The Attempt at a Solution


I understand that it would be 80-70/(173-113) because my original answer didnt seem right. I am just curious as to how to know logically through the problem that I would put the chirps on bottom not on top to begin with

Technically you could do it either way. In this problem, the way it is phrased, it says when the temp is 70 you get 113 cpm and when the temp is 80 you get 173 cpm. So it is suggesting that chirps/minute is a function of temperature. That would suggest temperature is the dependent variable.

The real answer to your question may be in the statement of the problem where it asks you to calculate something. You never stated the question that you were asked to solve in part 1 of the homework template. If I knew that I might be able to give a better answer.
 
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What's a chirp?

Oops, LKC beat me to it...
 
Thank you lkc. You are right, in the question it says right a function that models temp t as a function of chirps per minute N. Thank you.
 
berkeman said:
What's a chirp?

Oops, LKC beat me to it...

No birds or crickets where you live?
 
berkeman said:
What's a chirp?

You, of all people, should know. It's a cw signal when the frequency isn't stable. :cool:
 
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