Question

A students studying public policy created a model for the population of detroit, where the popultion decreased 25% over a decade. he used the model p= 714(0.75)^d, where p is the population, in thousands, d decades after 2010. another staudent, suzanne, wants to use a model that would predict the population after y years. suzanne’s model is best represented by _________.

Answer 1

Suzanne's model for predicting the population after y years is p = 714(0.75)^(y/10).

Step-by-step explanation:

Suzanne wants to use a model that predicts the population after y years. The student studying public policy created a model for the population of Detroit, where the population decreased 25% over a decade. The model used is p = 714(0.75)^d, where p is the population in thousands after d decades after 2010. To create a model that predicts the population after y years, we need to convert y years into decades. Since 1 decade is equal to 10 years, we divide y by 10 to get the number of decades. The equation for Suzanne's model can then be written as:

p = 714(0.75)^(y/10)