Final answer:
After setting up equations for both Homestead Bowling and Fremont's costs per game plus shoe rentals and finding the common point, it has been determined that the cost to bowl will be the same after 4 games.
Step-by-step explanation:
To find out after how many games the cost to bowl will be the same at both Homestead Bowling and Fremont, we can set up an equation based on the cost of games and shoe rental at each location. Let's define x as the number of games bowled.
At Homestead Bowling, the cost will be $2.50 per game plus a $2.00 shoe rental, leading to a total cost expressed as 2.50x + 2.
At Fremont, the cost will be $2.00 per game plus a $4.00 shoe rental, leading to a total cost expressed as 2x + 4.
To find out where the costs are the same, we set the two expressions equal to each other:
2.50x + 2 = 2x + 4
Solving this equation:
- Subtract 2x from both sides: 0.50x + 2 = 4
- Subtract 2 from both sides: 0.50x = 2
- Divide both sides by 0.50: x = 4
So, after 4 games, the cost to bowl will be the same at both Homestead Bowling and Fremont. The correct answer is (d) 4 games.