Temperature

[nycmathguy]

Section 3.4
Question 88

For part (a), the horizontal asymptote is the line h = 0, where h represents each passing hour. Yes?

For part (b), I am to let T = 100 and solve for h.
Yes?

 

[MathLover1]

part (a), the horizontal asymptote is the line T = 20 (the horizontal asymptote is the x-axis (y = 0), or parallel to x-axis (y = a) )
part (b) yes

 

[nycmathguy]

part (a), the horizontal asymptote is the line T = 20 (the horizontal asymptote is the x-axis (y = 0), or parallel to x-axis (y = a) )
part (b) yes

You said:

". . .the horizontal asymptote is the line T = 20 (the horizontal asymptote is the x-axis (y = 0), or parallel to x-axis (y = a) )"

1. You said T = 20 is the horizontal asymptote.
Then you said the line y = 0 is the horizontal asymptote. Is the horizontal asymptote T = 0 or y = 0.

2. There is no x here. There is no y here.
The point (T, h) = (x, y).

Yes?

 

[MathLover1]

1. You said T = 20 is the horizontal asymptote. -> correct
Then you said the line y = 0 is the horizontal asymptote. Is the horizontal asymptote T = 0 or y = 0.
no, I said the horizontal asymptote is the x-axis (y = 0), OR parallel to x-axis (y = a) )
in your case parallel to h-axis (because h = x) and y=T=20
2.
x=h, y=T
the point (h, T) = (x, y).

 

[nycmathguy]

1. You said T = 20 is the horizontal asymptote. -> correct
Then you said the line y = 0 is the horizontal asymptote. Is the horizontal asymptote T = 0 or y = 0.
no, I said the horizontal asymptote is the x-axis (y = 0), OR parallel to x-axis (y = a) )
in your case parallel to h-axis (because h = x) and y=T=20
2.
x=h, y=T
the point (h, T) = (x, y).

Thank you. I see my error.