Algebra 2 Final Exam
Name: ____________________________________
Constructed Response Questions
Period: _______ Date: _______________________
A baseball bat hits a ball. The height of the ball (y) expressed as a function of time (x) is represented by:
h(t) = -16t2 + 120t + 3.
a) Sketch a rough picture of this event. Label each axis.
b) What is the y-intercept and what does it represent in terms of this problem?
c) Find the vertex of the graph and EXPLAIN what the coordinates mean.
d) Find the positive x-intercept and EXPLAIN what this means.
Why is only one of the answers reasonable in this situation?
e) What is the height of the baseball after 1.8 seconds?
f) At what time(s) is the ball 62 feet in the air?
Algebra 2 Final Exam
Name: ____________________________________
Constructed Response Questions
Period: _______ Date: _______________________
The amount of mold on a piece of bread starts at 10 spores of mold (on day 0) and doubles every day thereafter.
A slice of bread is considered completely engulfed with mold at 20,000 spores.
a) Write an equation in the form y = abx that models this situation.
b) How many spores of mold are on the slice of bread after 3 days? Show your work.
c) If someone finds the bread after 8 days, will the bread be completely engulfed? Show your work.
d) How many days until the bread is completely engulfed with mold (20,000 spores)? Show your work.