The world population in 1993 is projected to be billion people.

EXPLANATION
The growth model is given by the following expression:
[tex]A=A_0(1+r)^t[/tex]Where A_0=Initial Population = 5 billion
r=growth rate = 2% = 0.02 in decimal form
t=time = 1993 - 1987 = 6 years
Plugging in the numbers into the equation:
[tex]A=5(1+0.02)^6[/tex]Computing the power:
[tex]A=5\cdot(1.02)^6[/tex]Computing the product:
[tex]A=5\cdot1.13[/tex]Multiplying numbers:
[tex]A=5.63billion[/tex]In conclusion, the population in 6 years will be of 5.63 billion.