The population of a town was 7652 in 2016. The population grows at a rate of 1.6% annually.

A) use the exponential growth model to write an equation that estimates the population t years after 2016

B) estimate the population of the town in 2024. Show your work

(A) The population's growth rate in equation form is y = (0.016t * 7652) + 7652

(B) y = (0.016t * 7652) + 7652 =

y = (0.016 (8) * 7652) + 7652 =

y = (0.128 * 7652) + 7652 =

y = 979.456 + 7652 =

y = 8631.456 (Or About) 8631

Step-by-step explanation:

(A) Y = the total population of the town. 0.016 is 1.6% just in its original form. T = the year in which were trying to find the town's total population. 7652 is the total population of the town in 2016. With this information, the equation reads, The total population of the town (Y) is equal to 16% (0.016) of the current year's population (T) added to 2016's population of 7652. (This last sentence can also be read what is 1.6% of the towns population in the year were trying to find. Because the population is always growing, 1.6% gets multiplied as to scale with the total population in year T)

(B) We just substitute (T) for 2024, or 8 years after 2016 (2024-2016) and simplify the equation we made.