3. Logarithmic and Exponential Functions
Standard Level
3.03 Applications of exponential functions
Interactive practice questions
Consider the function $y=0.68\left(1.6\right)^x$y=0.68(1.6)x.
a
Identify what type of function this is:
Exponential growth
A
Exponential decay
B
b
What is the rate of growth?
Easy
1min
Consider the function $y=0.98\left(0.2\right)^x$y=0.98(0.2)x.
Easy
< 1min
Find the value of $P\left(1+\frac{r}{k}\right)^{kn}$P(1+rk)kn, where $P=3000$P=3000, $r=5%$r=5%, $k=4$k=4 and $n=2$n=2.
Easy
1min
The population, $P$P, of a particular town after $n$n years is modelled by $P=P_0\left(1.6\right)^n$P=P0(1.6)n, where $P_0$P0 is the original population.
Find the population of the town after $3\frac{1}{2}$312 years if its original population was $30000$30000. Give your answer to the nearest whole number.
Easy
1min
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