Question

Jogging is one of the new 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=x+10 Use this equation or graph of it to complete the ordered pair (5,?)Write a sentence explaining the meaning of the answer If this trend continues, how many joggers will there be 2015?

Answer 1

GIVEN:

The question provides the equation of the relationship between years and number of joggers to be:

`y=x+10`

where:

`\begin{gathered} x=\text{ number of years after 2000} \\ y=\text{ number of people jogging in millions} \end{gathered}`

SOLUTION:

Question a: Complete the ordered pair (5, __)

To find the missing value, we can substitute for x = 5 in the equation provided. This will give us the y-value for the ordered pair. Therefore:

`\begin{gathered} y=5+10 \\ y=15 \end{gathered}`

Hence, the ordered pair is (5, 15)

Question b: Meaning of the answer

The ordered pair of (5, 15) means that 5 years after 2000, the number of joggers will have increased to 15 million people.

Question c: Number of joggers in 2015

2015 is 15 years after 2000:

`2015-2000=15`

Using the formula given, substitute for x = 15:

`\begin{gathered} y=15+10 \\ y=25 \end{gathered}`

Therefore, there will be 25 million joggers in 2015.