1. A roasted turkey is taken from an oven when its temperature has reached 185 Fahrenheit and is placed on a table in a room where the temperature is 75 Fahrenheit. Give answers accurate to at least 2 decimal places. (a) If the temperature of the turkey is 152 Fahrenheit after half an hour, what is its temperature after 45 minutes? Fahrenheit

b) When will the turkey cool to 100 Fahrenheit?

hours

2. The fox population in a certain region has a continuous growth rate of 9 percent per year. It is estimated that the population in the year 2000 was 6000. (a) Find a function that models the population tt years after 2000 (t=0t=0 for 2000)

Your answer is P(t)=P(t)=

(b) Use the function from part (a) to estimate the fox population in the year 2008. Your answer is (the answer must be an integer)

3. A population numbers 18,000 organisms initially and decreases by 5.7% each year. Suppose PP represents population, and tt the number of years of growth. An exponential model for the population can be written in the form P=abtP=abt where

P =