The slope that represents the cost per guest is $42 per guest
<h3>How to determine the slope?</h3>
From the question, we have the following parameters that can be used in our computation:
Cost for 65 guests, g is $2730
Cost for 80 guests is $3360
This can be represented as
(g, C) = (65, 2730) and (80, 3360)
The slope is then calculated as
Slope = (y₂ - y₁)/(x₂ - x₁)
Where
(x, y) = (65, 2730) and (80, 3360)
Substitute the known values in the above equation
So, we have the following equation
Slope = (3360 - 2730)/(80 - 65)
Evaluate the quotient
Slope = 42
Hence, the slope is 42
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