Question

Total cost for bowling includes the fee for shoe rental plus the fee per game. The cost for each game increases by 4. After 3games the cost with shoe rental is $14. Write an equation to represent the total cost y to rent shoes and bowl x games.

Answer 1

y = 4x + 2 is the equation to find total cost y to rent shoes and bowl x games

Solution:

Given that, The cost for each game increases by 4

The Total cost for bowling includes the fee for shoe rental plus the fee per game.

Let the total cost be "y"

Let the number of games be "x"

The point slope equation can be used to describe this situtaion

`y - y_1 = m(x - x_1)`

Here
`(x_1 , y_1)` represents the cost after 3 games is $ 14

`(x_1 , y_1) = (3, 14)`

The cost for each game increases by 4. So, here m = 4

Therefore, the equation becomes,

y - 14 = 4(x - 3)

y - 14 = 4x - 12

y = 4x - 12 + 14

y = 4x + 2

So here, 2 represents the shoe rental and "x" is the number of games

Thus the required equation to find total cost y to rent shoes and bowl x games is found