NAME DATE PERIOD Lesson 3 Skills Practice
NAME _____________________________________________ DATE __________________ PERIOD _________
Lesson 3 Skills Practice
Equations in y = mx Form
For Exercises 1?3, determine whether each linear function is a direct variation. If so, state the constant of variation.
1. Price, x
$5
$10
Tax, y
$0.41 $0.82
Direct variation. $0.082 per $1
$15 $1.23
$20 $1.64
2. Hours, x
11
12
13
14
Distance, y (miles) 154
167
180
193
No direct variation
3. Age, x
8
9
10
11
Grade, y
3
4
5
6
No direct variation
Copyright ? The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.
For Exercises 4?12, y varies directly with x. Write an equation for the direct variation. Then find each value.
4. If y = 8 when x = 3, find y when x = 45. y = -83 x; 120
5. If y = -4 when x = 10, find y when x = 2. y = - -25 x; -0.8
6. If y = 27 when x = 8, find y when x = 11.
y = - 27 x; 37.125
8
7. Find y when x = 12, if y = 2 when x = 5. y = -25 x; 4.8
8. Find y when x = 3, if y = -4 when x = -9.
y
=
- 4
9
x;
1 -1
3
9. Find y when x = -6, if y = 15 when x = -5. y = -3x; 18
10. If y = 20 when x = 8, what is the value of x when y = -2? y = -5 x; -0.8
2
11. If y = -30 when x = 15, what is the value of x when y = 60? y = -2x; -30
12. If y = 42 when x = 15, what is the value of x when y = 70?
y
=
- 14
5
x;
25
40
Course 3 ? Chapter 3 Equations in Two Variables
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