Final answer:
To find in what week the movie earns $16 million, substitute the earnings value into the function and solve for x. The movie would earn $16 million in week -6, which doesn't make sense in the context of the problem. Therefore, there is no week in which the movie earns $16 million.
Step-by-step explanation:
To find in what week the movie earns $16 million, we need to substitute the earnings value into the function and solve for x. The function rule is given as f(x) = 8x + 64, where f(x) represents the earnings of the movie in millions of dollars and x represents the number of weeks.
Let's substitute the earnings value:
16 = 8x + 64
Subtracting 64 from both sides:
16 - 64 = 8x
Simplifying:
-48 = 8x
Dividing both sides by 8:
x = -6
The movie would earn $16 million in week -6, which doesn't make sense in the context of the problem. Therefore, there is no week in which the movie earns $16 million.