Answer:
y = 12x + $300
Explanation:
To get this order, you need to compare the numbers. This table shows how much it costs to rent a banquet hall for different amounts of people. We can see that there is a connection between the amount of people (x) and the total cost (y).
| Number of Students (x) | Total Cost (y) |
|------------------------|----------------|
| 100 | $1500 |
| 125 | $1800 |
| 150 | $2100 |
| 175 | $2400 |
| 200 | $2700 |
From the given data, we can see that the cost increases by $300 for every 25 additional students. Therefore, we can represent this as a linear equation where y = mx + b. Here, m represents the cost per student and b is the base cost when no students are involved. By calculating the ratio of the cost increase to the student increase, we get m = $300/25 = $12. Therefore, the equation representing this situation is y = 12x + b. To find the value of b, we substitute x and y from any point in the table. Using the first point (100, $1500), we find that b = $1500 - 12*100 = $300. Thus, the final equation is y = 12x + $300.