John is deciding which bowling alley to choose from. Bowl 360 charges an initial fee of $10 with a rate of $5 every hour. Bowler City charges an initial fee of $20 with a rate of $3 every hour. Let x represent hours, while y represents total cost. with this context Which bowling company will be cheaper to use and when? Use complete sentences.

Answer 1

To determine which bowling alley is cheaper to use, we need to compare the total cost for a given number of hours.

For Bowl 360, the total cost (y) can be represented by the equation y = 5x + 10, where x is the number of hours played.

For Bowler City, the total cost (y) can be represented by the equation y = 3x + 20.

To find out when one bowling alley will be cheaper than the other, we need to set up an inequality.

We can set up the inequality 5x + 10 < 3x + 20 to compare the costs.

Simplifying the inequality gives us 2x < 10.

Dividing both sides of the inequality by 2, we get x < 5.

This means that if John plans to play for less than 5 hours, Bowler City will be cheaper. However, if John plans to bowl for 5 hours or more, Bowl 360 will become cheaper.