Math 181

June 4, 2013 Name: __ Answer Key __

Quiz 1

1. The average surface temperature of the earth can be modeled by the linear function T=.02t+8.50, where T is temperature in °C and t represents years since 1900.

What do the slope and T-intercept represent in this model?

*The slope, .02, represents the number of
degrees Celsius that the average surface temperature of the earth increases
each year.*

*The T-intercept, 8.50, is the average surface
temperature in 1900*

2. Express the function

*Note:
this is not only possible answer, but it is the only one that makes both
f and g as simple as possible. *

3. Find all solutions of the equation correct to 3 decimal places (use your calculator).

*Either graph ** and find the intersections, or graph ** and find its zeroes. Either way you should get x=-.724 and x=1.221*

4.
(3,24) (1,6)

Find the exponential function whose
graphs is:

*(which can be
verified by substituting x=1 and x=3 and confirming that the desired y’s are obtained)*