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3 votes
5.

Number of Total
students, x
cost, y
100
$1500
125
$1800
$2100
$2400
$2700
150
175
200

5. Number of Total students, x cost, y 100 $1500 125 $1800 $2100 $2400 $2700 150 175 200-example-1

1 Answer

7 votes

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.

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