To find the rate of change of the number of entertainment websites from 1995 to 2004, we can use the formula:
\[ \text{Rate of change} = \frac{\text{Change in quantity}}{\text{Change in time}} \]
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Change in quantity: Number of websites in 2004 - Number of websites in 1995 = 793 - 54 = 739
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Change in time: 2004 - 1995 = 9 years
Now, substitute these values into the formula:
\[ \text{Rate of change} = \frac{739}{9} \approx 82.1111 \]
Rounding to two decimal places gives approximately 82.11 websites per year.
Therefore, the closest answer to this value is:
A. 82 websites per year.