an insect population is growing in such a way that the number in each generation is approximately 1.5 times that of the previous generation. if there are 100 insects in the first generation, approximately how many insects will there be in the fourth generation

Approximately 338

Explanation:

Since each generation of the insect is approximately 1.5 times that of the previous generation. Therefore,

Population of insect in the first generation = 100

Population of insect in the second generation = 1.5 × 100

                                                                    = 150

Population of insect in the third generation = 1.5 × 150

                                                                     = 225

Population of insect in the fourth generation = 1.5 × 225

                                                                     = 337.5

The population of insect in the fourth generation is approximately 338.