Analytical Methods
Name __________________________
Linear Functions
1. Write the equation of the line through the point (1, 6) and perpendicular to the
line given by 3x + 4y = 12.
2. The owner of a small construction business needs a new truck.
He can buy a
diesel truck for $18,000 and it will cost $0.16 per mile to operate it.
He can
buy a gas engine truck for $16,000 and it will cost him $0.21 per mile to
operate.
Find the number of miles he must drive before the costs are equal.
If her normally keeps a truck for 5 years, which is the better buy?
3. The Borough Municipal Authority of Beaver, PA, used the following functions
to determine charges for water.
C x
x
x
x
x
x
x
( )
.
.
.
(
)
.
.
(
)
=
≤
≤
+

<
≤
+

R
S

T

1557
0
100
15570
104
100
100
1000
109170
0 689
1000
1000
where C(x) is the cost in dollars for x thousand gallons of water.
a. Find the monthly charge for 12,000 gallons of water.
b. Find the monthly charge for 825,000 gallons of water.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview.
Sign up
to
access the rest of the document.
 Spring '07
 Lumchuck
 Supply And Demand, supply function, small construction business, Methods Linear Functions, Analytical Methods Linear Functions, gas engine truck

Click to edit the document details