DIRECT VARIATION

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DIRECT VARIATION par Mind Map: DIRECT VARIATION

1. How is a direct variation problem translated into symbols?

1.1. y/x = k

1.2. y = kx

2. How is direct variation viewed in a real life situation

2.1. The wattage usage is directly proportional to the electric bill.

2.2. the distance traveled by a moving vehicle varies as the time the vehicle is moving

2.3. the quality of goods bought is directly proportional to ts price

3. How is a direct variation real life problem solved?

3.1. The area of a roundabout is directly proportional to the square of its radius. If a round about has an area of 100 sq. m. when its radius is 10 m. what is the area of a roundabout whose radius is 15?

3.2. A = kr^2

3.3. k = 100/ 10^2

3.4. k = 1

3.5. the area of the roundabout then is. A = 1 (15^2); A = 225 sq m.

4. What is a direct Variation?

4.1. A direct variation is a relationship that exist between variables such that there exist a non-zero k as the ratio of the quantities.

5. How is direct variation expressed?

5.1. Table of value

5.2. Equation

5.3. Ratio & Proportion

5.4. graph

6. How does a direct variation look in a graph?

6.1. The grap is a straight line passing through the origin.

6.2. for a direct square relationship the graph is a half parabola with vertex at (0,0)