Acaterer charges a $200 fee plus $18 per person served. a. write an equation that represents the cost as a function of the number of guests. b. graph the function and label all axis c. identify the slope and y-intercept and describe their meanings. d. find the cost of catering an event for 200 guests.

Answer-

Solution-

A caterer charges a $200 fee plus $18 per person served.

Let us assume that

The cost = y

The number person served = x

As $200 is a fixed charge and $18 is a variable charge, so the equation would be,

  ----------------------1

The graph of the function is attached below.

Comparing the equation 1 with general slope-intercept form of straight line,

here,

m = slope = 18

c = y-intercept = 200

Slope means the rate of change or the variation, as the number of person increases the cost increases by an amount of $18, so the slope is 18.

y-intercept is the place on the graph where x = 0, i.e when x is 0 or number of person served is 0, the cost will be $200. It doesn't matter whether any person is being served or not, the caterer will charge $200.

In order to find the cost of catering for 200 guests, putting x = 200 in equation 1,

Therefore, the cost of catering for 200 guests is $3800.

the answer is 0.071

good luck! : d

i found two solutions,   n = 2 • ± √3 = ± 3.4641

step-by-step explanation: