Your friend tells you that at 1:00 pm the temperature outside was 67 degrees Fahrenheit and at 5:00 pm, that same day, the temperature was 65 degrees Fahrenheit. He also states that the average rate of change of the temperature between 1:00 pm and 5:00 pm increased by 2 degrees Fahrenheit. Determine if your friend is correct and explain why or why not.

Question

agreene · Answer

so, it's asking for avg change of temp or $\Delta t$ this can be found as such:
$$\Delta t = t_2-t_1$$ so take the 2nd temp - 1st temp and find the avg change in temp, compare that to "your friend's" answer

anonymous · Answer

except in this case the temperature is going down.

mrnood · Answer

I don't think this is correct @agreene

The question says "the average rate of change of temperature"

This ids deltaT/delta t  (T = temp, t= time)

BUt is also says "the average rate of change of the temperature increased by 2 degrees Fahrenheit"

This cannot be right because 'rate of change' has to be in deg/hour, not just deg

I think this question is very badly phrased and is confusing

anonymous · Answer

i thought average mean add the t1+t2 divided by 2

mrnood · Answer

In order to calculate the change in the 'rate of change' you need at least 3 time points.

This question is incorrect.

anonymous · Answer

i think they just wanna know the slope in word form

mrnood · Answer

the rate of change is -2deg/4hours =- 0.5deg/hour

There is no way of knowing if the 'rate of change' increased or decreased

anonymous · Answer

call the cops on the teacher then because thats messed up

mrnood · Answer

yup