Apopulation of deer has a per capita rate of increase of 0.1 deer per year. if there are initially 300 deer in the population, and the population is growing exponentially, how many deer will be in the population after 1 year?

a) 30
b) 300
c) 330
d) 600

c) 330

Explanation:

Formula to calculate exponential growth is written as:  

                 y = a( 1+r)ⁿ

a = initial quantity  

r = growth rate as a decimal

n = number of time intervals  

y = quantity after n time

As per the question given  

a = 300

r = 0.1  

n = 1 year

y = ?

Thus,

y = a( 1+r)ⁿ    

300(1+0.1)¹

300 × 1.1 = 330

Therefore,

y = 330

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