Question

A terribly long algebra question; answer if you dare.

Answer 1

very daring

Answer 2

indeed! D:

Answer 3

And here are the questions 7-12:

7) Given Sheldon’s function, is Leonard’s beverage hot coffee or iced coffee?
8) What is the asymptote of the graph of H(t)? What does it mean in the context of this problem?
9) Calculate the coordinates of the y intercept of H(t). What do they mean in the context of this problem?
10) What is the range of H(t)? What does it mean in the context of this problem?
11) When will Leonard’s drink reach 90 degrees? Explain why your answer is reasonable.
12) When will Leonard’s drink reach 60 degrees? Explain why your answer is reasonable.

Answer 4

HI!!

Answer 5

7) Given Sheldon’s function, is Leonard’s beverage hot coffee or iced coffee?

Answer 6

\[H(t)=93(.91)^t+68\] the original temp is what you get when \(t=0\) namely \[H(0)=93\times .91^0+68=93\times 1+68=93+68=161\]

Answer 7

the room temp is the number hanging out at the end, so \(68^\circ\) for the room, \(161^\circ\) for the coffee

Answer 8

8) What is the asymptote of the graph of H(t)? What does it mean in the context of this problem?

Answer 9

the larger \(t\) gets, the smaller \(.91^t\)gets and so \(93\times .91^t\) gets closer and closer to zero
that means the whole thing gets closer and closer to the room temp, which is what you would expect as it cools

Answer 10

Dont know about the length but it sure reminded me to watch the latest episode of The Big Bang Theory

Answer 11

It reminded me as well, lol.

QUESTIONS 9-12 remain; I need these to study for a test! Work shown is most appreciated!