Solving exponential growth model problems

The video tutorial explains how to use a population model to determine future population sizes. It starts with a given model where the population is expressed as 548 times e raised to the power of kt, with k as the growth rate and t as time in years. The tutorial demonstrates how to calculate the growth rate constant k using historical population data from 1970 and then applies this to predict the population in 2010. The process involves solving for k using logarithms and then using the model to find the future population, resulting in a population of 720,612 people in 2010.

How do you calculate the value of 'k' using the population data from 1970?

What is the final population calculated for the year 2010?