After a long day on the slopes, the skiers/snowboarders like to
relax in the lodge with some food and a beverage. Help the Slopey
Mountain Lodge manager calculate some scenarios....
1) In order to make deliciously warm cappuccinos, the lodge must purchase a cappuccino
machine for $500. If the lodge charges $5 for a cappuccino
a) Write a linear equation to represent the lodge's profit (P) for "x" number of
cappuccinos..
F(x) -15.x - soo
b) Graph the linear equation that would represent the lodge's profit for "x" number
of cappuccinos.
303
508
150
100
150
200
250
500
+49
450
R
43-
80
100
120
140
160
180
200x
What do the numbers on the x-axis represent?
What do the numbers on the y-axis represent?
X
According to your graph, after how many
cappuccinos does the lodge break even (reach
$0)?
c) Use your equation to calculate the lodges profit after selling 300 cappuccinos?
d) Use your equation to calculate how many cappuccinos the lodge must sell to ma
a profit of $1,650
