1. Distinguishing Exponential & Linear from Context
EOC Review:
Distinguishing Exponential & Linear from Context

2. Exponential or Linear?
Sometimes we need to identify whether a table is displaying data that follows an exponential or a linear pattern.
Look for key words & patterns.

3. KEY TERMS EXPONENTIAL LINEAR GROWTH/DECAY
CONSTANT PERCENT RATE OF CHANGE
DOUBLES/HALVES
EACH, EVERY, RATE, PER
CONSTANT RATE OF CHANGE
SLOPE

4. TABLE PATTERNS EXPONENTIAL LINEAR
LOOK FOR A CONSTANT MULTIPLYING PATTERN
(*sometimes will look like dividing because it is multiplying by a fraction)
LOOK FOR A CONSTANT ADDING PATTERN
(*sometimes will look like subtracting because it is adding a negative)

5. Example: E#1.1 Check the pattern in the table. x y 4 2 14 3 19 5 29
Which type of function best models the data shown in the table?
A. a linear function, because y is
changing at a constant rate per unit
interval of x
B. a linear function, because y is changing
at a constant percent rate per unit interval of x
C. an exponential function, because y is
changing at a constant rate per unit interval of x
D. an exponential function, because y is
changing at a constant percent rate per unit interval of x x y 4 2 14 3 19 5 29
Eliminate contradictory answers:
B. Linear ≠ constant PERCENT rate
C. Exponential ≠ constant rate

6. Example E#1.2 Three students in a class collected results
from three labs numbers. The table below
shows the results each student collected.
Which student collected data that would
best be modeled by an exponential function?
A. Olivia B. Maleek
C. Tyasia D. None of them
Notice the question is looking for exponential…
so look for a multiplying pattern.
Lab 1
Lab 2
Lab 3
Olivia
120
240
480
Maleek 90
150
Tyasia
200
210

7. You Try!
Mark key terms.
Look for patterns in the table.

8. Check it E#1.3
Which type of function best fits the data in the table below?
A. exponential decay model
B. exponential growth model
C. linear model with positive slope
D. linear model with negative slope x y -2 80 -1 20 5 1
1.25

9. Check it: E#1.4
Which type of function best fits the data in the table below?
A. exponential decay model
B. exponential growth model
C. linear model with positive slope
D. linear model with negative slope x y
0.15 1
0.6 2
2.4 3
9.6

10. Check it: E#1.5
Four students in a class charted the results of four races. The table below shows the data each student charted.
Which student charted data that would best be modeled by a linear function?
A. Jojo B. Nono C. Niko D. None of them
Race 1
Race 2
Race 3
Race 4
Jojo
120 sec.
110 sec.
100 sec.
90 sec.
Nono
180 sec.
200 sec.
Niko
240 sec.
60 sec.
30 sec.