Using data from 2010 and projected to 2020, the population of the United Kingdom (y, in millions) can be approximated by the equation

10.0y - 4.55x = 581

where x is the number of years after 2000.

In what year is the population predicted to be 71.75 million?

In year 2030 the population is predicted to be 71.75 million

Step-by-step explanation:

* Lets explain how to solve the problem

- Using data from 2010 and projected to 2020, the population of

the United Kingdom (y, in millions) can be approximated by the

equation 10.0 y - 4.55 x = 581

- x is the number of years after 2000

- We need to know in what year the population is predicted to be

71.75 million

* Lets substitute the value of y in the equation by 71,75

∵ The equation of the population is 10.0 y - 4.55 x = 581

∵ y = 71.75

∴ 10.0 (71.75) - 4.55 x = 581

∴ 717.5 - 4.55 x = 581

- Subtract 717.5 from both sides

∴ - 4.55 x = - 136.5

- Divide both sides by - 4.55

∴ x = 30

∵ x represents the number of years after 2000

∵ 2000 + 30 = 2030

∴ In year 2030 the population is predicted to be 71.75 million