Question

The function y = 6.2(1.01)^x models a pest population in billions, where x is the number of years after 2000. What will be the pest population in 2012? Give the answer to the nearest hundredth.

Answer 1

The correct answer is: 6.99 billion (as 6.986 billion is rounded off (to nearest hundredth place) to 6.99 billion)

Step-by-step explanation:

The given function is: y = 6.2(1.01)^x --- (1)

Where x = number of years after 2000

It means that in 2012, the value of x would be 12 as the difference between 2012 and 2000 is 12 years.

Put x = 12 in equation (1):

(1) => y = 6.2(1.01)^12 = 6.986 billion = 6.99 billion