Algebra II – 8

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Algebra II – 8.1, 8.3 Review Homework
Name ________________________
Tell whether x and y show direct variation, inverse variation, or neither.
2. y 
1. y = 2x + 3
x
3. x 
3
5. The variables x and y vary inversely. Use the given
values to write an equation relating x and y.
x = 48, y =
1
y
x=
12
5b. Using the equation above, find y when x = 0.5
1
xy  2
3
2
6. The variables x and y vary directly. Use the given
values to write an equation relating x and y.
4.
1
2
,y=
1
3
6b. Find y when x = 2
Determine whether x and y show direct variation, inverse variation or neither.
7.
8.
9.
The variable z varies jointly with x and y. Use the given values to write an equation relating x, y and z. Then find z
when x = 4 and y = 7.
10.
x = 6, y = ½ , z = 24
11. x =
3
2
, y = 18, z = 9
12. The number of pages p a student can read varies directly with the amount of time t in minutes spent reading.
The student can read 90 pages in 60 minutes. Write the equation that relates p and t. Predict the number of pages
the student can read if 90 minutes is spent reading.
13. Product Demand The monthly demand d for one of a company's products varies inversely with the price p of the
product. When the price is $8.25, the demand is 5300 units.
a) Find the constant of variation k.
c) Find the demand if the price is $5.50.
19. Graph: y 
VA:
Domain:
x – int.:
x
y
2x
x2  1
HA:
_____________
y – int:
b) Write an equation that relates d and p.
20. Graph:
y
8
x x6
2
VA:
HA :
Domain:
_____________
x – int.:
y – int: _______
x
y
21. Graph:
y
x4
x2  3x
VA:
HA :
Domain:
_____________
x – int.:
y – int: _______
x
y
22. Graph:
y
x2  6x  5
2x  1
VA:
HA :
Domain:
x – int.:
_____________
y – int: _______
x
y
22. Graph:
3x2  10x  8
y
x2  4
VA:
HA :
Domain:
x – int.:
x
y
_____________
y – int: _______
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