1. Objective- To use tables to compare linear expressions.
Acme Copiers charges $250 per month
and one cent per copy. Best Printers
charges $70 per month and three cents
per copy. When is Acme cheaper?
Let n = the number of copies
Let C = the total charge
Acme
Best
C = n
C = n

2. Let n = number copies Let C = total charge Acme Best C = 250 + .01n
Acme Charge
Best Charge
( 0 ) = 250
( 0 ) = 70
2,000
(2,000) = 270
(2,000) = 130
4,000
(4,000) = 290
(4,000) = 190
6,000
(6,000) = 310
(6,000) = 250
8,000
330
310
10,000
350
370
12,000
370
430
14,000
390
490
16,000
410
550
18,000
430
610

3. Best is cheaper at 8,000 copies, but Acme is cheaper at 10,000 copies.
Let n = number copies
Let C = total charge
Acme
Best
C = n
C = n n
Acme Charge
Best Charge
( 0 ) = 250
( 0 ) = 70
2,000
(2,000) = 270
(2,000) = 130
4,000
(4,000) = 290
(4,000) = 190
6,000
(6,000) = 310
(6,000) = 250
8,000
330
310
10,000
350
370
Best is cheaper at 8,000 copies,
but Acme is cheaper at 10,000 copies.

4. Acme is cheaper at more than 9,000 copies.
Let n = number copies
Let C = total charge
Acme
Best
C = n
C = n n
Acme Charge
Best Charge
8,000
(8,000) = 330
(8,000) = 310
8,500
(8,500) = 335
(8,500) = 325
9,000
(9,000) = 340
(9,000) = 340
9,500
(9,500) = 345
(9,500) = 355
10,000
350
370
Acme is cheaper at more than 9,000 copies.

5. A Better Way ! Let n = number copies Let C = total charge Acme Best
C = n
C = n
When do they cost the same?
n = n
- .01n n
= n
They cost the
same at
9000 copies.
180 = .02n
= n

6. A Better Way ! Let n = number copies Let C = total charge Acme Best
C = n
C = n
When does Acme cost less?
n < n
- .01n n
< n
180 < .02n
n > 9000 copies
9000 < n

7. For what number of miles will the two rental costs be the same?
The Willoughby family wants to rent a convertible for a day. “Let it Ride” company charges $32 a day and 25 cents a mile. For the same kind of car, “Rollin’ Down the Highway” charges $29 a day and 30 cents a mile.
For what number of miles will the two rental costs be the same?
Miles “Let it Ride” “Rollin’ Down the Highway”

8. The two companies cost the same for 60 miles.
Miles “Let it Ride” “Rollin’ Down the Highway”
32.00
35.00
38.00
41.00
44.00
47.00
50.00
53.00 10 20 30 40 50 60 70 80
34.50
37.00
39.50
42.00
44.50
47.00
49.50
52.00
The two companies cost the same for 60 miles.
“Let it Ride” cost less after 60 miles and “Rollin’ Down the Highway cost less under 60 miles.