Math& 254
Functions in Two Variables
Activity
Name:
As always in this class, please use complete sentences when answering questions.
1. The temperature adjusted for wind-chill is a temperature that tells you how cold it feels, as a
result of wind and temperature. The table below shows the temperature adjusted for windchill as a function of wind speed and temperature.
Temperature adjusted for wind-chill (F0)
Wind Speed
Temp
(mph)
(F0)
35
30
25
5
33
27
21
10
22
16
10
15
16
9
2
20
12
4
-3
25
8
1
-7
20
16
3
-5
-10
-15
15
12
-3
-11
-17
-22
10
7
-9
-18
-24
-29
5
0
-15
-25
-31
-36
a.
If the temperature is 00 F and the wind speed is 15 mph, how cold does it feel?
b.
If the temperature is 350 F, what wind speed makes it feel like 220 F?
0
-5
-22
-31
-39
-44
c.
If the temperature is 250 F, what wind speed makes it feel like 200 F? (You will need to
assume that the wind chill changes in a linear way between data points in order to answer this
question; don’t estimate!)
d.
If the wind is blowing at 15 mph, what temperature feels like 00 F?
e.
Using the table, make two tables of the temperature adjusted for wind-chill as a function
of wind speed for fixed temperatures of 200 F and 00 F. (This is NOT difficult!) Is wind-chill a
linear function of wind speed?
2. You like pizza and you like cola. Which of the graphs in figures below represents your
happiness as a function of how many pizzas and how much cola you have if:
a. There is no such thing as too many pizzas and too much cola?
b. There is such a thing as too many pizzas or too much cola?
c. There is such a thing as too much cola but no such thing as too many pizzas?
d. Describe a possible scenario for the remaining graph.