techmathi - 6.1 - ratio and proportion
TRANSCRIPT
![Page 1: TechMathI - 6.1 - Ratio and Proportion](https://reader036.vdocuments.us/reader036/viewer/2022082809/5576bd08d8b42ad0448b53bc/html5/thumbnails/1.jpg)
Bell RingerSimplify.
2. 24/42
4. 36/144
1. 49/84
3. 135/180
![Page 2: TechMathI - 6.1 - Ratio and Proportion](https://reader036.vdocuments.us/reader036/viewer/2022082809/5576bd08d8b42ad0448b53bc/html5/thumbnails/2.jpg)
- a comparison of two numbers by divisionRatio
- an equation that states two ratios are equalProportion
- the ratio of a to b measured in different units Rate
![Page 3: TechMathI - 6.1 - Ratio and Proportion](https://reader036.vdocuments.us/reader036/viewer/2022082809/5576bd08d8b42ad0448b53bc/html5/thumbnails/3.jpg)
Unit Rates
Example 1
$63 for 7 hours
Example 2
$2 for 9 lbs
![Page 4: TechMathI - 6.1 - Ratio and Proportion](https://reader036.vdocuments.us/reader036/viewer/2022082809/5576bd08d8b42ad0448b53bc/html5/thumbnails/4.jpg)
Example 3
A 12-ounce bottle of shampoo costs $2.80. What is the cost per ounce.
![Page 5: TechMathI - 6.1 - Ratio and Proportion](https://reader036.vdocuments.us/reader036/viewer/2022082809/5576bd08d8b42ad0448b53bc/html5/thumbnails/5.jpg)
You try!
1. $38 for 3 minutes
2. 324 cars for 6 months
3. A 16-liter bottle of soda costs $1.28.
![Page 6: TechMathI - 6.1 - Ratio and Proportion](https://reader036.vdocuments.us/reader036/viewer/2022082809/5576bd08d8b42ad0448b53bc/html5/thumbnails/6.jpg)
Example 1
y/2.5 = -3/4
Example 2
x/4 = 25/12
Cross Multiplication
![Page 7: TechMathI - 6.1 - Ratio and Proportion](https://reader036.vdocuments.us/reader036/viewer/2022082809/5576bd08d8b42ad0448b53bc/html5/thumbnails/7.jpg)
Example 3
24/5 = y/7
Cross Multiplication
![Page 8: TechMathI - 6.1 - Ratio and Proportion](https://reader036.vdocuments.us/reader036/viewer/2022082809/5576bd08d8b42ad0448b53bc/html5/thumbnails/8.jpg)
You try 2!
1. -1/23 = x/53
2. 3/43 = 19/x
3. x/24 = 52/48
4. 17/x = 42/64
![Page 9: TechMathI - 6.1 - Ratio and Proportion](https://reader036.vdocuments.us/reader036/viewer/2022082809/5576bd08d8b42ad0448b53bc/html5/thumbnails/9.jpg)
Example 1
(x+4) / 5 = 9 / 7
Example 2
(x + 2) / 14 = x / 10
Cross Multiplication (Multi-Step)
![Page 10: TechMathI - 6.1 - Ratio and Proportion](https://reader036.vdocuments.us/reader036/viewer/2022082809/5576bd08d8b42ad0448b53bc/html5/thumbnails/10.jpg)
Example 3
3 / (w + 6) = 5 / (w – 4)
Cross Multiplication (Multi – Step)
Example 4
4/ (y + 4) = 12 / (3y – 2)
![Page 11: TechMathI - 6.1 - Ratio and Proportion](https://reader036.vdocuments.us/reader036/viewer/2022082809/5576bd08d8b42ad0448b53bc/html5/thumbnails/11.jpg)
You try 2!
1. (y – 15) / (y + 4) = 35 / 7
2. (d – 7) / 4 = (2d + 1) / 3
3. 5 / (w + 3) = 6 / (2w – 4)