Given:
The equations are
[tex]y=-21x+9[/tex]
[tex]y=24x+8[/tex]
To find:
Which function is changing more quickly.
Solution:
The slope intercept form of a line is
[tex]y=mx+b[/tex]
Where m is slope and b is y-intercept.
On comparing [tex]y=-21x+9[/tex] with the slope intercept form, we get
[tex]m_1=-21[/tex]
[tex]|m_1|=|-21|[/tex]
[tex]|m_1|=21[/tex]
On comparing [tex]y=24x+8[/tex] with the slope intercept form, we get
[tex]m_2=24[/tex]
[tex]|m_2|=24[/tex]
Since, [tex]|m_1|<|m_2|[/tex], it means the absolute rate of change of second function is greater than the first function.
Therefore, the second function is changing more quickly.
