Question

A caterer charges a $200 fee plus $18 per person served. The cost as a function of the number of guests is shown in the graph.

Answer 1

Let

x ------> number of guests

y ----> the total charge

Part a

we have that

the linear equation is

y=18x+200

Part b

the slope is m=18

that means------> $18 per person served

the y-intercept is b=200

that means ------> the initial charge by fee

Part c

For x=250 guests

substitute in the equation

y=18(250)+200

y=$4,700