Question

The cost to rent a lane at a bowling alley is $9 per hour plus $4 for shoe rental. Create a table to show the total cost for each hour a bowling lane is rented if one person rents shoes. Is the total cost proportional to the number of hours rented?

Answer 1

To create a table showing the total cost for each hour a bowling lane is rented with shoe rental for one person, we can use the given information:

Cost to rent a lane per hour: $9

Cost for shoe rental: $4

Let's create the table:

| Number of Hours | Total Cost |

|-----------------|------------|

| 1 | $13 |

| 2 | $22 |

| 3 | $31 |

| 4 | $40 |

| ... | ... |

To find the total cost for each hour, we add the cost to rent the lane per hour ($9) to the cost for shoe rental ($4).

Now, let's analyze if the total cost is proportional to the number of hours rented.

In this case, the total cost is not proportional to the number of hours rented. This is because the cost per hour ($9) is constant, but there is an additional fixed cost for shoe rental ($4) that does not depend on the number of hours.

If the total cost was proportional to the number of hours rented, we would see a constant ratio between the total cost and the number of hours. However, since the cost for shoe rental remains the same regardless of the number of hours, the ratio between the total cost and the number of hours will vary.

Therefore, the total cost is not proportional to the number of hours rented

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