Question

Jogging is one of the few sports that has been consistently increasing over the past few years. The number of people jogging​ (in millions) from the years 2000 to 2009 is given by the equation y equals x plus 16​, where x is the number of years after 2000.

a. Use this equation or a graph of it to complete the ordered pair ​(2​, ​ ).
b. Write a sentence explaining the meaning of the answer to part​ (a).
c. If this trend​ continues, how many joggers will there be in 2023​?

Answer 1

a. The ordered pair is (2 , 18)

b. The number of people jogging in year 2002 was 18 millions

c. There will be 39 millions joggers in year 2023

Explanation:

* Lets explain how to solve the problem

- The equation y = x + 16 represents the number of people jogging

in millions from year 2000 to 2009 where y is the number of people

and x is the number of years after 2000

- That means at year 2000 the value of x = 0 and the number of people

jogging was 16 millions

- The equation represented graphically by line

a.

- The ordered pair (2 , ?) means x = 2 and we need to find y when x = 2

- Substitute x by 2 in the equation

∵ y = x + 16

∵ x = 2

∴ y = 2 + 16 = 18

* The ordered pair is (2 , 18)

b.

∵ y represents the number of people jogging in millions

∵ x represents the number of years from year 2000

- That means the number of people jogging in year 2002 was 18

millions

* The meaning of the answer of part (a) is :

The number of people jogging in year 2002 was 18 millions

c.

- If this trend​ continues means the equation will be the same for years

after 2009

∵ In year 2023 ⇒ x = 23

∵ y = x + 16

∴ y = 23 + 16 = 39

* There will be 39 millions joggers in year 2023