The population of mastertown was 23,000 in 2012. assume that mastertowns population increased at a rate of 2% per year. write an equation to model the population of mastertown (y) based on a number of years since 2012(x).

An equation to model the population of mastertown (y) based on a number of years since 2012(x) is

Step-by-step explanation:

Given : The population of mastertown was 23,000 in 2012. assume that mastertowns population increased at a rate of 2% per year.

To find : write an equation to model the population of mastertown (y) based on a number of years since 2012(x).

Solution :

There is an exponential growth :

The equation for the growth of the population is given by:

where

a is the initial amount,

x is the number of years,

r represents the growth rate( in decimal)

y represents the population of Master-town based on number of years.

According to question,

The population of mastertown was 23,000 in 2012.

i.e, a= 23000

Mastertowns population increased at a rate of 2% per year.

r=2%=0.02

Substitute in function we get,

An equation to model the population of mastertown (y) based on a number of years since 2012(x) is

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!