a.
y is the cost and x is the number of games.
For Bowl o Rama,
there is fixed cost of $2 and 2.50 PER game
So,
[tex]y=2+2.50x[/tex]
For Bowling Pinz,
there is fixed cost of 4 and $2 PER game
So,
[tex]y=4+2x[/tex]
b.
The graph of both the equations is shown below:
RED >> Bowl o Rama
BLUE >> Bowling Pinz
Note that the intersecting point is (4,12)
This tells us that the cost (lines) are equal at 4 games at a total cost of 12 dollars.
For verification, we can just put x = 4 and y = 12 into both the equations:
y = 2 + 2.5x
12 = 2 +2.5(4)
12 = 10 + 2
12 = 12
Verified.
and
y = 4 + 2x
12 = 4 + 2(4)
12 = 8 + 4
12 = 12
Verified.
