GIVEN:
The question provides the equation of the relationship between years and number of joggers to be:
[tex]y=x+10[/tex]
where:
[tex]\begin{gathered} x=\text{ number of years after 2000} \\ y=\text{ number of people jogging in millions} \end{gathered}[/tex]
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:
[tex]\begin{gathered} y=5+10 \\ y=15 \end{gathered}[/tex]
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:
[tex]2015-2000=15[/tex]
Using the formula given, substitute for x = 15:
[tex]\begin{gathered} y=15+10 \\ y=25 \end{gathered}[/tex]
Therefore, there will be 25 million joggers in 2015.