Answer:
A.) $12
B.) $4.50
C.) [tex]y=\frac{9}{2} x+12[/tex]
Step-by-step explanation:
He pays a certain amount as an initial fee. Added to this is the cost per game. Use slope-intercept form to write the equation first (this is easier):
[tex]y=mx+b[/tex]
Where:
- m is the slope
- b is the y-intercept (where x is equal to 0)
- x and y are the corresponding coordinate points (x,y)
A.) In this case, b represents the initial fee. You can find this by finding the y value when x is 0:
[tex](0,12)[/tex]
The initial fee to rent shoes is $12.
B.) Let's say that each game is represented by x. This means that the number of games will be multiplied by the cost per game. This can be seen as the slope, or m. To find the slope, you need to find the [tex]\frac{rise}{run}[/tex].
To get from point (0,12) to point (2,21), you move up 9 spaces and to the left 2. The slope is [tex]\frac{9}{2}[/tex]. This can be simplified to 4.5, so the cost per game is $4.50.
C.) Insert all the information for m and b into the equation:
[tex]m=\frac{9}{2} \\\\b=12\\\\y=mx+b\\\\y=(\frac{9}{2})x+(12)\\\\ y=\frac{9}{2} x+12[/tex]
:Done
