Liquid nitrogen freezes at -346 degrees F and boils -321 F. Janice gradually heats frozen nitrogen 1 1/2 degrees several times over an hour.
1)Define variables for the number of times Janice increases the temperature and the temperature of the liquid nitrogen after the temperature increases.
- I have N= number of times she tries
T-temperature
2)Write an equation that shows the relationship between the 2 variables.
???? Not sure how to do this. Would it be -346 - 1 1/2N=T
Because -321F is more than -346F you would add to -346F instead of subtract from it.
Subtracting would make the temperature lower. Remember the closer a negative number is to zero the higher it is.
Ok. So if I had to use the equation to calculate the temperature if it is increased 3 times. I would do
-346 + 1 1/2(n)=T
-346 + 1 1/2(3)=T
-346 + 4 1/2=-341 1/2
Is that right?
Thanks
To define the variables, you correctly identified N as the number of times Janice increases the temperature. The other variable, T, represents the temperature of the liquid nitrogen after the temperature increases.
To write an equation that shows the relationship between the two variables, you need to consider the initial temperature of the frozen nitrogen and how it changes with each increase.
Given that the initial temperature of liquid nitrogen is -346 degrees Fahrenheit, and Janice gradually heats it by 1 1/2 degrees several times over an hour, you need to consider the cumulative effect of these temperature increases over N iterations.
Since Janice increases the temperature by 1 1/2 degrees during each iteration, the temperature after N iterations can be calculated as:
T = -346 + (1 1/2)N
In this equation, -346 represents the initial temperature, and (1 1/2)N represents the cumulative effect of increasing the temperature by 1 1/2 degrees N times.
So the correct equation to represent the relationship between the number of times Janice increases the temperature (N) and the temperature of the liquid nitrogen after the temperature increases (T) is:
T = -346 + (1 1/2)N