Direct and Inverse Variations Direct Variation When we
- Slides: 15
Direct and Inverse Variations
Direct Variation When we talk about a direct variation, we are talking about a relationship where as x increases, y increases or decreases at a CONSTANT RATE.
Direct Variation Direct variation uses the following formula:
Direct Variation example: if y varies directly as x and y = 10 as x = 2. 4, find x when y =15. what x and y go together?
Direct Variation If y varies directly as x and y = 10 find x when y =15. y = 10, x = 2. 4 make these y 1 and x 1 y = 15, and x = ? make these y 2 and x 2
Direct Variation if y varies directly as x and y = 10 as x = 2. 4, find x when y =15
Direct Variation How do we solve this? Cross multiply and set equal.
Direct Variation We get: 10 x = 36 Solve for x by diving both sides by 10. We get x = 3. 6
Direct Variation Let’s do another. If y varies directly with x and y = 12 when x = 2, find y when x = 8. Set up your equation.
Direct Variation If y varies directly with x and y = 12 when x = 2, find y when x = 8.
Direct Variation Cross multiply: 96 = 2 y Solve for y. 48 = y.
Inverse Variation Inverse is very similar to direct, but in an inverse relationship as one value goes up, the other goes down. There is not necessarily a constant rate.
Inverse Variation With Direct variation we Divide our x’s and y’s. In Inverse variation we will Multiply them. x 1 y 1 = x 2 y 2
Inverse Variation If y varies inversely with x and y = 12 when x = 2, find y when x = 8. x 1 y 1 = x 2 y 2 2(12) = 8 y 24 = 8 y y=3
Inverse Variation If y varies inversely as x and x = 18 when y = 6, find y when x = 8. 18(6) = 8 y 108 = 8 y y = 13. 5
- Direct and inverse variation
- What is a direct variation
- Inverse variation equation
- Which of these graphs is the graph of an inverse variation
- What is the difference between direct and inverse variation
- Direct variation examples with solution
- Indirect variation graph
- Is a direct variation a linear function
- Prediction interval formula
- The reciprocal function family
- 11-1 inverse variation answers
- 11-1 inverse variation answers
- Table of values of joint variation
- 6-7 inverse relations and functions
- Inverse percentages
- Why can't zero be in the domain of an inverse variation