Quiz
#2 Name____________________________________________________________
20 points
You have 20 minutes for this quiz. You MUST show work for credit. You must use the methods we have covered.
A
racecar driver is driving around a circular track with a radius of four
miles in the counterclockwise direction.
When his x-coordinate is three and he is in quadrant I (see the
drawing), he spins out and his car heads off along a tangent line toward a
wall at position y = 5. What is
the x-coordinate of his point of intersection with the wall (collision
point)? (It’s OK, he was wearing
his seat belt and was not hurt.) (8
eight points)
PLEASE, TURN THE PAGE OVER!
2. 
(4
points)
a. Find f(g(x)) and
b. State its domain.
3. The population of a particular resort town doubles every three years. Suppose that there are initially three hundred people in the town. (8 points)
a. Give a formula for the size of the population after t years.
b. What is the population after fifteen years?
c. When does the population reach 1350 people?