Question

Every weekend, Lee goes bowling with his friends at Pin Busters Lanes. The total cost for Lee to rent bowling shoes and bowl is c(t) = 46.5t dollars, where t is the number of hours he spends bowling. Which of the following statements are true?

1) The cost for Lee to rent bowling shoes and bowl increases linearly with the number of hours he spends bowling.
2) The cost for Lee to rent bowling shoes and bowl is $46.50 per hour.
3) The cost for Lee to rent bowling shoes and bowl is $46.50 for any number of hours he spends bowling.
4) The cost for Lee to rent bowling shoes and bowl is $46.50 plus $4 for each hour he spends bowling.

Answer 1

The cost for Lee to rent bowling shoes and bowl increases linearly with the number of hours he spends bowling. The cost is not $46.50 per hour, but rather the cost per hour is $46.50. The cost for Lee to rent bowling shoes and bowl is not a fixed amount of $46.50 for any number of hours, but it depends on the number of hours he spends bowling. The cost is not a fixed amount of $46.50 plus $4 for each hour, but it is simply $46.50 per hour.

Step-by-step explanation:

The cost for Lee to rent bowling shoes and bowl can be expressed by the function c(t) = 46.5t, where t is the number of hours he spends bowling. This means that the cost increases linearly with the number of hours he spends bowling, so statement 1 is true.

However, statement 2 is false. The cost is not $46.50 per hour, but rather the cost per hour is $46.50.

Statement 3 is also false. The cost for Lee to rent bowling shoes and bowl is not a fixed amount of $46.50 for any number of hours, but it depends on the number of hours he spends bowling.

Statement 4 is false as well. The cost for Lee to rent bowling shoes and bowl is not a fixed amount of $46.50 plus $4 for each hour, but it is simply $46.50 per hour.