1.
You are a volcanologist studying a recently active volcano. You need to get as close to the volcano as possible but the temperature rises the closer you get and your instruments will only function properly if the temperature is below 105°. In order to get accurate information about the area, you need to be within 500 feet from the base of the volcano. You have taken the following preliminary measurements:
5200 feet away the air temperature is 77°
4100 feet away the air temperature is 82°
3200 feet away the air temperature is 87°
2300 feet away the air temperature is 93°
1900 feet away the air temperature is 97°

Pick two of these points to work with and calculate an answer for the following questions. (Temperature is the independent variable and Distance is the dependent variable)

a - Which two points did you pick?
b - Given the information from these temperatures, estimate the equation for the relationship between the distance away and the temperature.
c - How far away do you have to stay for your instruments to work?
d - What label would you put on the x-axis of a graph, distance or points? Why?
e - What label would you put on the y-axis? Why?
f - What is the domain and range of the situation? Why?
g - Given this information, would you guess the temperature will be too hot to do your research when you are at the volcano?