Estrella and Ashley are studying population growth They deci

Estrella and Ashley are studying population growth. They decide to buy fruit files to conduct their study. They start with 20 young fruit files and 12 days later have 1200 fruit files. Use an exponential growth model to determine the growth rate of the fruit flies. write out all decimal do not round A(t)=A0e^kz. If the flies don\'t die off and the population continues to increase at the same rate, how long will it be until there arc 2400 fruit flies? Round your answer to the whole number Unfortunately the fruit flies escape from the terrarium where Ashley and Estrella w ere keeping them. The girls run around and kill 2000 of the fruit flies. Assume also that the original 20 fruit flies died of old age. How many fruit flies will the\' still have flying around in the house two days later? Assume the same growth rate and round your answer to the whole number.

Solution

part a and b are correct

After 40 days ther were 2400 flies

out of these 2000 fly away, 20 died remaining= 2400 - 2000 -20 =380 flies

So, A(t) = Aoe^(0.3411t)

In two days:

=380e^(0.3411*2)

=380*1.97 = 750 flies were still flying in the house