Question

For Park College's basketball games, it costs \(\$ 15\) to attend. A season's pass costs \(\$ 170 .\) At most, how many games could you attend at the \(\$ 15\) price before spending more than the cost of a season's pass? (A)10 (B)11 (C)15 (D)17

Short answer

The maximum number of games one could attend each with a 15 dollar ticket before the cost exceeds the cost of a season's pass is 11 games. Thus, the answer is \(11\) games which corresponds to option (B).

Step-by-step solution

Determine the costs

For each game, the cost is \(15\) dollars while the total cost of a season's pass is \(170\) dollars.

Calculate the number of games that can be attended

You can find out the number of games that one can attend before exceeding the price of the pass by dividing the total cost of a season's pass by the cost of a single game ticket. Hence, the calculation becomes, \(\frac{170}{15}\). The result of this division is approximately \(11.33\).

Interpretation of the result

However, one cannot attend a 'part' of a game. So we round down to the nearest whole number. Hence the maximum number of games one could attend each with a \(15\) dollar ticket before the cost exceeds the cost of a season's pass is \(11\). Any additional game would make the cost of tickets higher than the cost of a season's pass. Thus, the answer is \(11\) games.