A model predicts that the population of a certain town was 10,000 in 2001. The model also predicts that each year for the next 5 years, the population p increased by 8% of the previous
year's population. Which equation best represents this model, where X is the number of years after
2001, for X < 5?

The equation that best represents this model is

Step-by-step explanation:

Exponential equation for population growth:

The exponential equation for population growth, after x years, is given by:

In which P(0) is the initial population and r is the growth rate.

A model predicts that the population of a certain town was 10,000 in 2001.

This means that

8% yearly increase.

This means that . So

The equation that best represents this model is

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3