The laws of exponents I will be using are:
, and
.
For the first part, .
For the second part, .
Use the given equation to complete the table s = 16t^2 using the points from the table select the graph the best represents the
equation a. 0, 16, 64, 144; graph a b. 0, 4, 8, 12 graph a c. 0, 16, 64, 144; graph b d. 0, 4, 8, 12; graph b
2 answers:
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Given:
Giant panda population in 2014 = 1864
The giant panda population in China is increasing at a rate of 1.5% each year.
To find:
The function that models the panda population since 2014.
Solution:
Since population of giant panda is increasing, therefore the function is the exponential growth model.
The general exponential growth model is:
Where, is the initial population, r is the growth rate in decimal and t is the time period.
Putting , we get
Where, t is the number of years since 2014.
Therefore, the required exponential growth model is .