Name:
Algebra 2 Inverse Variation day 1
Date:
Period: 1 2 3 4 5 6 7
Suppose that x and y varies inversely. Write a function that models each inverse variation.
1. x = 1 when y = 11
k= ________
inverse variation: _________
2. x = -13 when y = 100
k= ________
inverse variation: _________
3. x = 1 when y = 1
k= ________
inverse variation: _________
4. x = 1.2 when y = 3
k= ________
inverse variation: _________
5. x = 28 when y = -2
k= ________
inverse variation: _________
Suppose that x and y varies directly. Write a function that models each direct variation.
6. x = 6 and y = 12
k= ________
direct variation: _________
7. x = 10 when y = 2
k= ________
direct variation: _________
8. x = 7.2 when y = 3.6
k= ________
direct variation: _________
9. x = .5 when y = 2
k= ________
direct variation: _________
10. x = 7 when y = 10
k= ________
direct variation: _________
Is the relationship between the values in each table a direct variation, inverse variation or
neither? Write equations to model the direct or inverse variation.
11.
x
3
8
10
22
direct
inverse
neither
y
15
40
50
110
equation: ___________________________
x
3
5
7
10.5
direct
y
14
8.4
6
4
x
.5
2.1
3.5
11
y
1
4.2
7
22
x
.1
3
6
24
y
3
.1
.05
.0125
12.
inverse
neither
equation: ___________________________
13.
14.
direct
inverse
neither
equation: ___________________________
direct
inverse
neither
equation: ___________________________
Review Material:
Solve each as an exponential equation, place an = x after the log and rewrite as an exponent and
then solve.
15. log4 128
16. log4 256
17. log8 256
18. log 4 8
19. log 2 8
20. log 49 7