Question

Question is in the picture.The options underneath are $100 per person $15 per person $10 per person and eight dollar per person I chose $100 but I need it to be explained

Answer 1

The graph provided plots the cost of a hall against the number of guests. The blue graph represents "Cosmic Hall".

The cost per person is the slope of the line that represents the hall in consideration.

The slope is calculated using the formula:

$slope=\frac{y_2-y_1}{x_2-x_1}$

From the graph, two points can be picked as shown below:

$\begin{gathered} (x_1,y_1)=(0,6000) \\ (x_2,y_2)=(500,10000) \end{gathered}$

Hence, the slope is calculated to be:

$\begin{gathered} slope=\frac{10000-6000}{500-0}=\frac{4000}{500} \\ slope=8 \end{gathered}$