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 + 4x = 2
Accepted Solution
A:
Answer: 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