Question

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.


Help please


(a)
What is the projected population in 2028?
y =


(b)
In what year is the population predicted to be 67.2 million?

Answer 1

Answer:(a) To find the projected population in 2028 (28 years after 2000), we can substitute x = 28 into the equation:

10.0y - 4.55 * 28 = 581

Solving for y, we get:

10.0y = 581 + 4.55 * 28

10.0y = 581 + 127.4

10.0y = 708.4

y = 70.84 million

So, the projected population in 2028 is 70.84 million.

(b) To find the year when the population is predicted to be 67.2 million, we can substitute y = 67.2 and x = the number of years after 2000 into the equation:

10.0y - 4.55x = 581

10.0 * 67.2 - 4.55x = 581

672 - 4.55x = 581

91 = 4.55x

x = 91 / 4.55

x = 20

So, the population is predicted to be 67.2 million 20 years after 2000, or in the year 2020.

Explanation: