IT’S A PARTY
And You’re Invited
COMPARING COMPANIES - EQUATIONS
Let x = number of guests
Let y = total cost
Company A: y = 10x + 150
Company B: y = 700
Company C: y = 5x + 300
COMPARING COMPANIES - TABLE
# of Guests
Cost for Company A
Cost for Company B
Cost for Company C
10
250
700
350
20
350
700
400
30
450
700
450
40
550
700
500
50
650
700
550
60
750
700
600
70
850
700
650
80
950
700
700
90
1050
700
750
100
1150
700
800
COMPARING COMPANIES - GRAPH
Catering Company Comparisons
1000
900
800
700
Total Cost
600
Series1
500
Series2
Series3
400
300
200
100
0
0
5
10
15
20
25
30
35
Number of Guests
40
45
50
55
60
65
70
75
80
85
90
95
100
y = 10x + 50
y = 700
y = 5x + 300
REAL WORLD MEANING OF Y-INTERCEPTS
Company A: It will cost $150 to hire Company A before
guests are invited.
Company B: It will cost $700 to hire Company B before
guests are invited.
Company C: It will cost $300 to hire Company C before
guests are invited.
POINT OF INTERSECTION
Company A and Company B meet at (30, 450)
Company A and Company C meet at (55, 700)
Company B and Company C meet at (80, 700)
POINT OF INTERSECTION – REAL WORLD
If 30 guests attend, both Company A and Company B will
cost $450
If 55 guests attend, both Company A and Company C will
cost $700
If 80 guests attend, both Company B and Company C will
cost $700
WHEN TO USE EACH COMPANY
Company A for 0 to 30 guests
Company B for 80 or more guests
Company C for 30 to 80 guests
ANALYSIS
Since 35 guests have RSVP, we would recommend
that you use Company C.
Equations –
Company A: y = 10(35) + 150 = $500
Company B: y = 700 = $700
Company C: y = 5(35) + 300 = $475
ANALYSIS- TABLE
# of Guests
Cost for Company A
Cost for Company B
Cost for Company C
20
350
700
400
30
450
700
450
35
500
700
475
40
550
700
500
50
650
700
550
60
750
700
600
70
850
700
650
80
950
700
700
90
1050
700
750
100
1150
700
800
ANALYSIS- GRAPH
Catering Company Comparisons
1000
900
800
700
Total Cost
600
Series1
500
Series2
Series3
400
300
200
100
0
0
5
10
15
20
25
30
35
Number of Guests
40
45
50
55
60
65
70
75
80
85
90
95
100
y = 10x + 50
y = 700
y = 5x + 300
CONCLUSION
As you can see by the analysis of the equations,
table and graph, you will save $25 by choosing
Company C.