At the beginning of a population study, city had 370,000 people. Each year since population growth is 9.1 percent. Write an exponential function showing the relationship between y and t.

y=370,000 (1.091) ^t

Step-by-step explanation:

The formula for exponential growth is;

y=a (1+r) ^x

where

y=future growth

a = initial population

r=growth rate as a decimal

x=number of time interval that have passed

Given;

a=370,000

r=9.1% = 0.091

x=t

Thus

y=370,000 (1+0.091) ^t

y=370,000 (1.091) ^t