34) tina plans on going bowling this weekend, and there are two bowling alleys in her town. the bowling pin charges $5 for shoe rental and $3.50 per game. the alley way charges $3 for shoe rental and $4 per game. write an equation to show the break even point between the two bowling alleys, and then solve the equation. a) 5 + 3.5x = 3 + 4x, x = 4 b) 5 + 3.5x > 3 + 4x, x = 1 c) 5x + 3.5 = 3x + 4, x = 0.25 d) 5x + 3.5 = 3x + 4 x = 2

A)5 + 3.5x = 3 + 4x, x = 4
 
The Bowling Pin charges $5 for shoe rental and $3.50 per game. The shoe should be fixed, but the price for playing depends on how many games played.
The function would be: 5 + 3.5x

The Alley Way charges $3 for shoe rental and $4 per game. The shoe should be fixed, but the price for playing depends on how many games played.
The function would be: 3 + 4x

The break even point would be: 
5 + 3.5x= 3+4x
5-3= 4-3.5x
2= 0.5x
x=4