Math 4: Unit 1 Lesson 1 Quiz C
Name___________________
1. Vicky starts a new job with an hourly pay of $8.64. Suppose that her hourly pay increases by
3% each year.
a. What will Vicky’s hourly pay be in 3 years?
b. Write a function rule that will predict her hourly pay n years from now.
c. How many years will it be before Vicky’s hourly pay is at least $11? Show your work or
explain your reasoning.
2. Dave also starts a new job, but his hourly pay starts at $9.30. Suppose that he gets a35¢-perhour raise each year.
a. What will Dave’s hourly pay be in 6 years?
b. What function family will best match the relationship between Dave’s hourly pay and
the number of years he has worked? Explain your reasoning.
c. Write a function rule that will predict Dave’s hourly pay n years from now.
d. How many years will it be before Dave’s hourly pay is at least $11? Show your work
or explain your reasoning.
3. The graphs below represent two different families of functions.
a. Identify the function family represented by each graph.
b. Which of the graphs could be a graph of the function rule matching the situation described
below. Explain your reasoning.
A water balloon is dropped off of a building that is 15 feet high. The time (in seconds) that it
takes for the balloon to fall to the ground is a function of the height of the balloon (in feet).
4. Consider a function with rule of the form y  ax 4  b , a > 0 and b > 0.
a. What is the domain of this function? Explain your reasoning.
b. What is the range of this function? Explain your reasoning.
6. Graph the piecewise function given below.
 1
 2 x  3, x  1
f x   
3 x  2 , x  1

 6 x  4 x  3
f ( x)   2
 x  1 x  3