Apply 9. The table shows the amount a restaurant is donating to a local school based on various dinner bills. Is the amount of the donation proportional to the dinner bill? If so, what would be the donation for a dinner bill of \( \$ 50 \) ? If not, explain.

To determine if the amount of the donation is proportional to the dinner bill, we need to check if the ratio of the donation to the dinner bill is constant across all given values in the table. Let's assume the table provides the following data (as an example): | Dinner Bill | Donation | |-------------|----------| | $10 | $1 | | $20 | $2 | | $30 | $3 | | $40 | $4 | To check for proportionality, we calculate the ratio of the donation to the dinner bill for each entry: 1. For a dinner bill of $10: \[ \text{Ratio} = \frac{1}{10} = 0.1 \] 2. For a dinner bill of $20: \[ \text{Ratio} = \frac{2}{20} = 0.1 \] 3. For a dinner bill of $30: \[ \text{Ratio} = \frac{3}{30} = 0.1 \] 4. For a dinner bill of $40: \[ \text{Ratio} = \frac{4}{40} = 0.1 \] Since the ratio is constant (0.1) for all entries, we can conclude that the donation is proportional to the dinner bill. To find the donation for a dinner bill of $50, we can use the constant ratio: \[ \text{Donation} = 0.1 \times 50 = 5 \] Thus, the donation for a dinner bill of $50 would be **$5**. If the table you have shows different values, please provide those values, and I can help you analyze them accordingly.