Answers:
a) y = 200 + 18x
b) Slope = 18
y-intercept = 200
c) y = 4700
Explanation:
a)
The cost will be equal to the fixed cost of $200 added to the variable cost that depends on the number of guests. So, the equation that represents the total cost is:
y = 200 + 18x
Where y is the total cost and x is the number of guests.
b)
Then, the slope is the number beside the x, so the slope is $18 and it is the cost per person served.
On the other hand, the constant value is the y-intercept, so the y-intercept is $200 and it is the fixed cost of the caterer.
c)
Finally, the cost of catering an event for 250 guests, is the value of y when x is 250. So, the cost is:
y = 200 + 18(250)
y = 200 + 4500
y = 4700