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?
Accepted Solution
A:
Answer:a. The ordered pair is (2 , 18)b. The number of people jogging in year 2002 was 18 millionsc. There will be 39 millions joggers in year 2023Step-by-step 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 linea.- 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 millionsc.- 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