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Sagot :
Answer:
1) I and III
Step-by-step explanation:
The equation of an exponential function is given by:
y = abˣ
where x is an independent variable, y is a dependent variable, a is the initial value of y (that is value of y at x = 0), b is greater than 1 for an exponential growth while b < 1 for an exponential decay.
Given that x represent years and P(x) represent population. 2013 is represented by x= 0, hence:
At the year 2013 (x = 0), the population is 3810, hence a = 3810.
The equation becomes:
P(x) = 3810(b)ˣ
At 2014 (x = 1), the population is 3943. Hence:
3943 = 3810(b)¹
3810b = 3943
b = 1.035.
Therefore a = 3810, b = 1.035. The correct option is 1) I and III
Since b > 1, this is an exponential growth.
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