1 / 15

# Direct and Inverse Variations - PowerPoint PPT Presentation

Direct and Inverse Variations. 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. Direct variation uses the following formula:. example:

Related searches for Direct and Inverse Variations

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

## PowerPoint Slideshow about 'Direct and Inverse Variations' - lerato

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

### Direct and InverseVariations

When we talk about a direct variation, we are talking about a relationship where as x increases, y increasesor decreases at a CONSTANTRATE.

### Direct Variation

Direct Variation a relationship where as

Direct variation uses the following formula:

example: a relationship where as

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 a relationship where as find x when y =15.

y = 10, x = 2.4 make these y1 and x1

y = 15, and x = ? make these y2 and x2

Direct Variation

### Direct Variation

We get: 10x = 36 y =15

Solve for x by diving both sides by 10.

We get x = 3.6

### Direct Variation

Let’s do another. y =15

If y varies directly with x and y = 12 when x = 2, find y when x = 8.

### Direct Variation

Cross multiply: 96 = 2y when x = 8.

Solve for y. 48 = y.

### Direct Variation

Inverse when x = 8. 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 when x = 8.Direct variation we Divide our x’s and y’s.

In Inverse variation we will Multiply them.

x1y1 = x2y2

### Inverse Variation

If y varies inversely with x and when x = 8.y = 12 when x = 2, find y when x = 8.

x1y1 = x2y2

2(12) = 8y

24 = 8y

y = 3

18(6) = 8y

108 = 8y

y = 13.5