Suppose that the number of newborns (n) in an insect population can be predicted from the number of adult insects (i) according to the following equation, where r and b are variables related to the rates of population growth: n=ri−bi2. calculate n if r=1.5, b=0.0015, and i=500. rounding to the nearest whole number, n equals which of the following?
a) 1880
b) 375
c) 188
d) 749

d: 749

Explanation:

From the equation, N = rl - bl2, where N is the number of newborns, l is the number of adult insects, and r and b are variables; with all the components given, N can be calculated by direct substitution.

Since r = 1.5, b = 0.0015, and l = 500, therefore, substitute for r, b, and l to get N such that;

N = 1.5(500) - (0.0015)(500)2

         750 - 1.5

N = 748.5

Rounding to the nearest whole number. N = 749.

The correct answer is d.

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