Question

at the beginning of a population study a city had 240000 people each year since the population has grown by 7.8% let t be the number of years since start of the study let y be the cotys population write an exponential function showing the relationship between y and t

Answer 1

y = 240000 x e^(0.078 x t)

Explanation:

This is exponential growth, so the power at the exponential function will be positive ( negative is for exponential decay.) Since it is increasing by 7.8 percent exponentially we can write an exponential function relating y with t.