Question

1. There are currently 3800 birds of a particular species in a national park and their number is increasing at a rate of

R(t) = 527e^0.06t birds per year.

If the proportion of birds that survive t years is given by S(t) = e^−0.1t, what do you predict the bird population will be ten years from now? (Round your answer to the nearest integer.)

____ birds

.

2. Sterile fruit flies are used in an experiment where the proportion that survives at least t days is given by  e^−0.15t.  If the experiment begins with 300 fruit flies, and flies are added at the rate of 8 per hour, how many flies are present 19 days after the start of the experiment? (Round your answer to the nearest integer.)

______ insects

Answer 1