Use the growth factor to determine if its graph increases faster.
B
b
Use the decay factor to determine if its graph decreases faster.
C
c
Use the growth factor to determine if its graph increases faster.
D
d
Use the decay factor to determine if its graph decreases faster.
A
a
D
B
b
B
C
c
A
D
d
C
Practice makes perfect
a
The bacterial population can be modeled by an exponential growth function. The growth factor of its function is 2.
y=a( 2)^t
The graphs of exponential growth functions are increasing. There are two increasing graphs, A and D. Since the growth factor is 2, greater than the growth factor found in Part C, the graph should be steeper. Hence, the situation matches graph D.
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The value of a computer can be modeled by an exponential decay function. The decay factor of its function is 0.82.</listcircle>
y=a(1- 0.18)^t ⇒ y=a( 0.82)^t
The graphs of exponential decay functions are decreasing. There are two decreasing graphs, B and C. Since the decay factor is 0.82, less than the decay factor found in Part D, the graph decreases faster. As such, the situation matches graph B.
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c
The balance can be modeled by </premium>an exponential growth function. The growth factor of its function is 1.11.
y=a(1- 0.11) ⇒ y=a( 1.11)^t
The graphs of exponential growth functions are increasing. There are two increasing graphs, A and D. Since the growth factor is 1.11, less than the growth factor found in Part A, the graph should be flatter. Hence, the situation matches graph D.
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d
The amount of radioactive element can be modeled by an [[Concept:Exponential Gro</premium>wth|exponential growth]] function. The decay factor of its function is 0.945.
y=a(1- 0.055)^t ⇒ y=a( 0.945)^t
The graphs of exponential growth functions are increasing. There are two increasing graphs, B and C. Since the growth factor is 0.945, greater than the growth factor found in Part B, the graph should decrease slowly. Hence, the situation matches graph D.
