Question

The population of a certain species of lizards decreases at a rate of 2% per year. You counted 75 lizards in the habitat you are studying. What will be the population after 3 years?

a) 69
b) 72.9
c) 68.4
d) 70.2

Answer 1

The population of lizards will be approximately 70.7 after 3 years.

Step-by-step explanation:

The population of lizards is decreasing at a rate of 2% per year. To find the population after 3 years, we need to calculate 2% of the initial population and subtract it each year. Starting with 75 lizards, after the first year the population will be 75 - (0.02 * 75) = 73.5. After the second year, it will be 73.5 - (0.02 * 73.5) = 72.03. And after the third year, it will be 72.03 - (0.02 * 72.03) = 70.677, which we can round to 70.7.