To determine the slope of the line in the graph depicting ticket sales, we can use two points from the graph. Let's take the points (0, 4000) and (4, 2500) for this calculation.
The formula for the slope (m) is:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Using the points:
- (x₁, y₁) = (0, 4000)
- (x₂, y₂) = (4, 2500)
Substituting these values into the slope formula:
\[ m = \frac{2500 - 4000}{4 - 0} \] \[ m = \frac{-1500}{4} \] \[ m = -375 \]
Since this value is not in the options, let's check the slope using another point. We can use the points (1, 3500) and (5, 2000):
Using (1, 3500) and (5, 2000):
\[ m = \frac{2000 - 3500}{5 - 1} \] \[ m = \frac{-1500}{4} \] \[ m = -375 \]
All calculations lead back to the same results. Let's see nearer to the options provided and apply only closest integer:
Now comparing our options we find that: -400, -250, -2000, -1500
Upon careful look into how many tickets are sold per hour, we see that in the spans (-2000, -1500) is showing higher slope but we keep in mind we computed as -375.
However, since we are restricted to the multiple choice provided, closest option reflecting as drop per hour for ticket sales seeing more in terms of overall transactions; another consideration could pick slope majorly as negative in scenario is to fall under -400 based on quick descent.
Thus the answer must be best concluded as: A. -400.
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