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Int Algebra 11.1-11.4: Exponential basics Flashcards | StudBud
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Int Algebra 11.1-11.4: Exponential basics
Int Algebra 11.1-11.4: Exponential basics
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Quick check of basic parts and understanding of exponential functions.
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1
In the generic form of an exponential equation, y = a ∙ b
x
, "b" represents:
final value
growth/decay rate
initial value
time
2
In the generic form of an exponential equation, y = a ∙ b
x
, "a" represents:
Initial value
Time
slope
Growth Rate
3
Chlorine kills germs at a rate of 0.8% every second. Dish began with 7,000 germs.
y = 7000(1.008)x
y = 0.992(7000)x
y = 7000(0.92)x
y = 7000(0.992)x
4
An exponential equation is always in the form:
y = a∙bx
y = b∙ax
y = ax + b
y = a ∙ xb
5
What is the growth rate if an account earns 15% interest yearly?
1.15
115
0.15
0.85
6
Does the following exponential function represent growth or decay? y = 3(1.05)
x
decay
growth
7
The population of a small town increases 2% yearly. Population began at 700 people.
y = 700(1.02)x
y = 700(2)x
y = 1.02(700)x
y = 700(.98)x
8
In the generic form of an exponential equation, y = a ∙ b
x
, "x" represents:
final value
times compounded
initial value
Growth Rate
9
What is the rate of decay if a car loses 4% annually?
0.96
96
1.04
0.04
10
Does the following exponential equation represent growth or decay? y = 105(.80)
x
Decay
Growth
