Answered

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The table shows the cost for bowling at two bowling alleys.

The Table Shows The Cost For Bowling At Two Bowling Alleys class=

Sagot :

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.

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