The population of a mid-size city every eighteen yeaThe population is presently 168000. Write the equation of a function that represents the population of the city using transformations.

Answer 1

Hi, I think your question might have been cut off a little bit! I can still try to help you though

If we have a population growing over time, we can see that population depends on time; it is the dependent (y) variable. This makes them the independent (x) variable.

These problems often give a starting population value and a yearly increase - this would be a linear equation where the starting population is the y-intercept and the increase is the slope. It would look something like this:

Population = (initial value) + (new people per/year)(years since starting year)

Ex: There were 100 people in the city in 1900. 10 more people come each year. Write a function to define the population (P).

P = 100 + 10x

Hope this helps!