how do i solve this?

Question

The total cost for bowling includes the fee for shoe rental plus a fee per game. The cost of the game increases the price by $4. After 3 games, the total cost with shoe rental is $14.

a.write an equation to represent the total cost y to rent shoes and bowl x games.

Answer 1

If I am understanding your question correctly, the cost of shoe rental is fixed and unknown and the price of a game is $4.

The question asks to make an equation using the total cost, y, and total games bowled, x. Therefor how we will start out is by plugging the known into the equation y=mx+b. We already m because that is the price per game $4. Therefor y=4x+b. But we still do not know b. The b in y=mx+b is a CONSTANT and usually in linear math equations b is the fixed price. Since we do not know b we have to solve for it. We do know a y, total cost of games, and per an x, number of games. These numbers are $14 and 3 repectively. Therefor we plug them into the equation: y=4x+b

14=4(3)+b

solve for b

14= 12+b

14-12=b

2=b

 

This leaves us with our final equation y=4x+2

Answer 2

let x = number of games, let y = cost of shoe rental

 

then        Total cost = x•$4 + y

 

In this case, TC = 3•$4 + $2

 

TC = $14