Answer:
0.512 goals per game
Step-by-step explanation:
Given:
The number of games is represented by 'x' and number of goals is represented by 'y'.
Now, 'y' varies directly with x and at a constant rate.
A direct relationship line is given as:
[tex]y=mx[/tex]
Where, 'm' is the constant rate of change.
Now, for [tex]x=82,y=42[/tex]
So, a point on the line is given as (82, 42).
Plug in the given values in the above equation and solve for 'm'. This gives,
[tex]42=82m\\m=\frac{42}{82}\\m=0.512[/tex]
Therefore, Keith scores at a constant rate of 0.512 goals per game.
