The population of a certain animal species decreases at a rate of
3.5% per year. You have counted 80 of the animals in the habitat
you are studying
a. Write a function that models the change in the animal
population
b. Graph the function. Estimate the number of years until the
population fist drops below 15 animals

Aline of best fit is drawn for the set of points shown on the graph. which point is an approximate extrapolation for x = 30 from the line of best fit?

The volume of gas a balloon can hold varies directly as the cube of its radius. imagine a balloon with a radius of 3 inches can hold 81 cubic inches of gas. how many cubic inches of gas must be released to reduce the radius down to 2 inches?

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)