Download Exponential Growth/Decay: Tables, Graphs and Real

3.2A Explore – Exponential Growth/Decay: Tables, Graphs and
Real-World Situations
3)
Each year there is a regional tennis tournament. They start with 128 athletes. During each round, half the
players are eliminated.
a) Create a table that models this situation.
Rounds
Completed
# of athletes
remaining
Graph the data from your table.
128
120
0
112
1
104
96
88
80
72
64
56
48
40
32
b) How many athletes will be left after
5 rounds?
24
16
8
0
1
2
3
4
5
6
7
8
9
10
c) Would it make sense to ask how many
athletes were left after 6.5 rounds? Explain your reasoning
d) What is the smallest number of athletes remaining? Explain your thinking.
3.2
I CAN USE TABLES AND GRAPHS TO SOLVE EXPONENTIAL EQUATIONS INCLUDING REAL-WORLD SITUATIONS
AND TRANSLATE BETWEEN REPRESENTATIONS.
P-108
3.2A Explore – Exponential Growth/Decay: Tables, Graphs and
Real-World Situations
4)
The number of bacteria in a sample doubles every hour. Use the table (0 to 5 hours) and graph below to
record values to aid in organizing information to help answer the questions below.
Hours passed
0
1
2
3
4
5
Number of
bacteria
a) If there were 64 bacteria
in a sample after 3 hours,
how many bacteria were
in the original sample?
y
b) How many bacteria will
be in the sample after
6 hours?
c) Continue the pattern you
have created in either (or
both) the table or graph to
determine when there will
be over 500 bacteria?
x
3.2
I CAN USE TABLES AND GRAPHS TO SOLVE EXPONENTIAL EQUATIONS INCLUDING REAL-WORLD SITUATIONS
AND TRANSLATE BETWEEN REPRESENTATIONS.
P-109