Question

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?

Answer 1

N equals to 749 newborn insects.

Step-by-step explanation:

We have the following to calculate the population of newborn insects.

N = rl - bl2

In this equation we need to replace the values we know that are:

l = 500

r = 1.5

b = 0.0015

Whn we replace the values we have:

N = (1.5)(500) - (0.0015)(500)(2) Now we just do the operations

N = 750 - (0.0015)(1000)

N = 750 - 1.5

N = 748.5 When we roung the nearest whole number we get

N = 749

There were 749 new born insects that are represented by N.