Q45. - Algebra 2

Question

For Exercises 45-47, use the graphic that shows 2000 state populations. 

45. Write equations that represent the populations of Florida and New York x years after 2000. Assume that both states continue to gain the same number of residents evey year. Let y equal the population in thousands.

Step-by-Step Solution

Answer

The equation that represent population of Florida is $y=304000x+15982000$ and population of New York is $y=98600x+18976000$.

Step-1 – Interpret the data

According to the question, population y of states x years after 2000 is to be computed.

 

It is assumed that states continue to gain the same number of residents evey year.

Step-2 – Define the variables

Consider two variables x and y.

Denote the population after 2000 by x and total population by y.

Step-3 – Build the equations

The population of Florida in 2000 is 15,982,000 and average annual gain is 304,000.

Therefore, the equation that represent population of Florida is provided below.

$y=304000x+15982000$

The population of New York in 2000 is 18,976,000 and average annual gain is 98,600.

Therefore, the equation that represent population of Florida is provided below.

$y=98600x+18976000$

 

Thus, the equation that represent population of Florida is $y=304000x+15982000$ and population of New York is$y=98600x+18976000$.