activity #2
1) give the defferent kinds of proportion
2) explain each kind
3) give 1 example of each kind of proportion
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activity #2
1) give the defferent kinds of proportion
2) explain each kind
3) give 1 example of each kind of proportion
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1) The different kinds of proportion are direct proportion, inverse proportion, joint proportion, and compound proportion.
2)
- Direct Proportion: In direct proportion, two quantities change in the same direction. This means that as one quantity increases, the other quantity also increases, and as one quantity decreases, the other quantity also decreases.
- Inverse Proportion: In inverse proportion, two quantities change in opposite directions. This means that as one quantity increases, the other quantity decreases, and as one quantity decreases, the other quantity increases.
- Joint Proportion: Joint proportion involves three or more quantities that are directly proportional to each other. This means that if one quantity increases, the other quantities also increase in proportion, and if one quantity decreases, the other quantities also decrease in proportion.
- Compound Proportion: Compound proportion involves two or more ratios that are combined together. It is used to solve problems that involve multiple proportions.
3)
- Direct Proportion Example: The time taken to travel a certain distance at a constant speed. As the distance increases, the time taken to travel that distance also increases proportionally.
- Inverse Proportion Example: The time taken to complete a task is inversely proportional to the number of workers assigned to the task. As the number of workers increases, the time taken to complete the task decreases proportionally.
- Joint Proportion Example: The amount of work done by a group of workers is directly proportional to the number of workers and the time they work. If the number of workers increases, the amount of work done also increases proportionally.
- Compound Proportion Example: A recipe that requires a certain ratio of ingredients. If you want to make more or less of the recipe, you need to adjust the proportions of the ingredients accordingly.
1) Different kinds of proportion include:
a) Direct Proportion
b) Inverse Proportion
c) Joint Proportion
d) Compound Proportion
2) Explanation of each kind of proportion:
a) Direct Proportion: In direct proportion, two quantities change in the same direction. This means that as one quantity increases, the other quantity also increases, and vice versa. The ratio between the two quantities remains constant.
b) Inverse Proportion: In inverse proportion, two quantities change in opposite directions. This means that as one quantity increases, the other quantity decreases, and vice versa. The product of the two quantities remains constant.
c) Joint Proportion: Joint proportion involves three or more quantities that are directly proportional to each other. This means that if one quantity increases or decreases, the other quantities also change proportionally.
d) Compound Proportion: Compound proportion involves two or more ratios that are combined together. It is used to compare multiple quantities and their relationships.
3) Examples of each kind of proportion:
a) Direct Proportion: The relationship between distance and time in uniform motion. As the distance increases, the time taken to cover that distance also increases proportionally.
b) Inverse Proportion: The relationship between speed and time in uniform motion. As the speed increases, the time taken to cover a fixed distance decreases proportionally.
c) Joint Proportion: The relationship between the number of workers and the time taken to complete a task. If the number of workers increases, the time taken to complete the task decreases proportionally.
d) Compound Proportion: Suppose we have two ratios: 2:3 and 4:5. We can compare them using compound proportion to find the relationship between the two ratios.