Statement which is true about the graph of the function that represents the average cost per person is the horizontal asymptote y = 11.95 represents that the cost per person approaches $11.95 as the number of people increases.
What is graph ?
" Graph is defined as the pictorial presentation of the data on the coordinate plane along x-axis and y-axis."
What is average cost?
" Average cost is defined as the ratio of the total cost for 'n' number of people to the 'n' number of people."
Formula used
Average cost = [tex]\frac{total cost}{number of people}[/tex]
According to the question,
Cost of catering dinner per person = $11.95
Delivery and set up fixed cost= $25
'T' represents the total cost
'x' represents the total number of people
'y' average cost per person
As per the given condition we have,
Cost of catering dinner x persons = $11.95x
Total cost for 'x' number of people= $11.95x + $25
Substitute the value to get average cost we get,
Average cost = [tex]\frac{11.95x+25}{x}[/tex]
            = [tex]11.95 + \frac{25}{x}[/tex]
As shown in the graph ,
          Â
Horizontal asymptote  y = 11.95
Hence, graph of the function that represents the average cost per person is the horizontal asymptote y = 11.95 represents that the cost per person approaches $11.95 as the number of people increases.
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