Question

The population of Rwanda in 2016 was about 11.8 million. The population tends to increase by about 2% per year. Which equation determines the estimated population in millions t years after 2016?
P=11.8(0.02)^t

P=11.8(1.02)^t

P=11.8(2)^t

P=11.8(0.98)^t

Answer 1

Answer:

B - P=11.8(1.02)^t

Step-by-step explanation:

An exponential function is defined as:

$y=ab^{x}$.  

Recall, a is the starting value, b is the rate, and x is the input (often time).

We will substitute a=11.8 million, b=1.02, and x=t for years. Notice b=1.02 and not 0.02. Because the population is increasing, we multiply by 1+r to add the growth onto the current population.

We write: $y=11.8(1.02)^{t}$ where y is population in millions.