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)