Heidi T. answered • 03/06/20

Experienced tutor/teacher/scientist

The table can be filled out by using the calculator to solve for the P using the equation, get t by subtracting 1970 from the year.

Part b can be solved by putting setting P= 340 and dividing through by 79.9 so that the exponential term is isolated. Then take natural log (ln) of both sides of the equation. This gives:

ln(340/79.9) = 0.0317 t

divide by 0.0317 to solve for t: t = [ln (340/79.9)] / 0.0317 = 45.7

Since this is the number of year since 1970, add 1970+45.7 = 2015.7 So the population would reach 340 thousand sometime around 2015 and 2016, assuming the model is correct.