Graphing Independent and Dependent Variables Teacher Twins 2015
Graphing Independent and Dependent Variables Teacher. Twins© 2015
Warm Up X 1 10 21 Y = 10 X X 10 100 210 2). Write the equation for each table. X Y a). b). 1 5 0 0 Y=x+4 2 6 1 5 3 7 2 10 4 8 3 15 Y = 5 x
You can graph data in a table on the coordinate plane. The x-coordinate is your independent variable and your y-coordinate is your dependent variable.
Example 1: Jin’s car can get 24 miles per gallon. What are your independent and dependent variables? Complete the table and give the equation. The independent variable is Gallons(x) Miles(y) 1 24 3 72 ? 120 5 ? gallons. The dependent variable is miles. Y = 24 x
Example 1: Jin’s car can get 24 miles per gallon. Graph your data. The dependent variable is The coordinates you will use to graph the miles which is graphed equation on a coordinate plane will be: on the y-axis. ( 1, 24) , ( 3, 72), ( 5, 120) 144 120 Miles Gallons(x) Miles(y) 96 1 24 72 3 72 48 5 120 24 The independent variable is gallons which is graphed on the 1 x-axis. 2 3 4 Gallons 5 6
Example 2: Kelly can wash 4 dogs in 2 hours. Fill in the table and graph your data. 1 2 5 6 2 4 10 12 Dogs The coordinates you will use to graph the equation on a coordinate plane will be: ( 1, 2) , ( 2, 4), ( 5, 10), (7, 14) 12 10 Hours(x) Dogs(y) 8 6 4 2 1 2 3 4 Hours 5 6 7
Example 3: A car rents for $40 a day and $1 for every mile driven. Fill in the table and graph your data. The coordinates you will use to graph the equation on a 10 20 50 70 50 60 90 110 Cost coordinate plane will be: ( 10, 50) , ( 20, 60), 110 ( 50, 90), (100, 140) 100 Miles(x) Cost(y) 80 60 40 20 10 20 30 40 Miles 50 60 70
Practice Create a table and graph the data for each problem. Write the equation for each. 1). Kim bought 4 hot dogs for $ 2. 00. 2). Joe can rake the leaves from 3 yards in 2 hours. 3). Ian bought a coffee for $3. Each refill cost $1.
1). Kim bought 4 hot dogs for $2. 00. Sample answers 1 3 4 6 Y=0. 5 x Price(y) $0. 50 $1. 50 $2. 00 $3. 00 2. 50 Price Hot Dog(x) 2. 00 1. 50 1. 00 0. 50 1 2 3 Dogs 4 5 6 7
2). Joe can rake the leaves from 3 yards in 2 hours. Sample answers Yards (y) 1. 5 3 7. 5 9 Y= 1. 50 x 7. 5 Yards Hours (x) 1 2 5 6 9 6 4. 5 3 1. 5 1 2 3 4 Hours 5 6 7
3). Ian bought a coffee for $3. Each refill cost $1. Sample answers Cost(y) 1 3 5 6 4 6 8 9 12 10 Cost Refill(x) 8 6 4 2 Y=x +3 1 2 3 Refill 4 5 6 7
Closure Which variable is the xcoordinate? Independent Which variable is the ycoordinate? Dependent
- Slides: 12