Answer :
Further explanation
Answer and explanation:
The equation y=19x+350 representing the total cost for the banquet hall based on number of people attending has both dependent and independent variables.
The independent variable is x which represents the number of people attending(each person costs $19) and therefore determines the total cost y which will be the cost of the banquet hall given number of people attending x
If we make an illustration with this equation, we could plug in a number of attendants x = 200 and then observe the total cost of the banquet hall y
If x=200
y=19x+350
y= 19×200+350
y= 3800+350
y= $4150
Therefore total cost of banquet hall if there are 200 guests at the banquet hall =$4150
The total cost of the banquet hall, if there are 200 guests at the banquet hall, is $4150.
Given that,
The equation y = 19x+350 represents the relationship between the total cost,
In dollars, y, to rent a banquet hall for a party, and the number of people attending, x.
The y-intercept is 350 and represents the total cost to rent the banquet hall. The slope is 19.
We have to determine,
The cost per person attending.
According to the question,
The equation y = 19x+350 representing the total cost for the banquet hall based on the number of people attending has both dependent and independent variables.
The independent variable is x which represents the number of people attending(each person costs $19).
Therefore,
To determine the total cost y which will be the cost of the banquet hall given the number of people attending x.
Then, the total cost of the banquet hall y is,
[tex]y=19x+350\\\\y= 19\times200+350\\\\y= 3800+350\\\\y= 4150[/tex]
Hence, the total cost of the banquet hall, if there are 200 guests at the banquet hall, is $4150.
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