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?

a. 1880
b. 375
c. 188
d. 749

Answer 1

d. 749

Step-by-step explanation:

To calculate the number of newborns (N) in an insect population using the equation N=rI−bI2, where r and b are variables, given that:

r=1.5, b=0.0015, and number of adult insects (I) = 500.

Solve for N in the equation by substituting for r, b and I with the values given.

Number of newborns (N) = rI−bI2

= (1.5 × 500) - (0.0015 × 500 × 2)

= 750 - 1.5

N = 748.5

Rounding up to the nearest whole number, N = 749

749 newborn insects were represented by N