Step-by-step explanation
The growth model is given by the following expression:
![A=A_0(1+r)^t](https://img.qammunity.org/2023/formulas/mathematics/college/cinn1d11c3mwt839s9xcux3kbva08cdzza.png)
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:
![A=5(1+0.02)^6](https://img.qammunity.org/2023/formulas/mathematics/college/a52hf08zciuitq57ky656w3k0zggydive7.png)
Computing the power:
![A=5\cdot(1.02)^6](https://img.qammunity.org/2023/formulas/mathematics/college/pl3kburcqp9n8y6k8k5kki2mxzczpcd5g9.png)
Computing the product:
![A=5\cdot1.13](https://img.qammunity.org/2023/formulas/mathematics/college/ee69x3rp7dllr6llhmv169uf8ed0k2i3it.png)
Multiplying numbers:
![A=5.63billion](https://img.qammunity.org/2023/formulas/mathematics/college/ppeol8l7wiidqpgkibl6s3e9eg0qzu0cnn.png)
In conclusion, the population in 6 years will be of 5.63 billion.