Question

becky has been tracking the population of a town. The population was 5,340 last year and has been increasing by 1.75 times each year. How can Becky develop a function to model this?

Answer 1

As this is an exponential function the formula is:
y=a$b^{x}$

If:
a=y when x=0 (In this case 5,340)
b=function rule (In this case 1.75)
$^{x}$=# of years
then:

y=5,340$(1.75)^{x}$