Question

11. In ________
when one quantity increases, the other quantity increases at the same rate and vice versa.
A. Direct proportion
B. Inverse proportion
C. Partitive proportion

12. In ________
when one quantity increases, the other quantity decreases viceversa.
A. Direct proportion
B. Inverse proportion
C. Partitive proportion

13. In________ whole is divided into parts that is proportional to the given ratio.
A. Direct proportion
B. Inverse proportion
C. Partitive proportion
​

Answer 1

Answer:

11-. option A is correct

12- option B is correct

13- C is correct answer

Answer 2

Answer:

In direct proportion when one quantity increases, the other quantity increases at the same rate and vice versa.

In Inverse proportion when one quantity increases, the other quantity decreases viceversa.

In Partitive proportion whole is divided into parts that is proportional to the given ratio.

Step-by-step explanation:

A proportion is an equation that defines that two given ratios are equivalent to each other. In other words, a proportion shows the equality or ratio of two fractions. Proportionally, if two given sets of numbers increase or decrease by the same ratio, the ratios are said to be directly proportional to each other.

For example, the time taken by a train to travel 100 km per hour is equal to the time taken to travel a distance of 500 km in 5 hours. For example, 100 km/h = 500 km/5 hours.

Ratio and proportion are said to be sides of the same coin. If two ratios are of equal value, they are said to be proportional. Simply put, it compares two ratios. Proportions are denoted by the symbol "::" or "=".

Proportion can be classified into the following categories, for example:

• Direct proportion
• Inverse proportion
• Continuing proportion

Now let's discuss each of these methods in brief:

Direct proportion:

A direct proportion describes a relationship between two quantities, where as one quantity increases, the other quantity also increases. Similarly, when one quantity decreases, the other quantity also decreases. Therefore, if “a” and “b” are two quantities, the direction proportion is written as a∝b.

Inverse proportion:

An inverse proportion describes a relationship between two quantities, where an increase in one quantity leads to a decrease in the other quantity. Similarly, when one quantity decreases, the other quantity also increases. Therefore, the inverse ratio of two quantities like “a” and “b” is a∝(1/b).

Continuing proportion:

Take two ratios a: b and c: d.

We then convert the averages to one term/number to find the continuing proportion of two given terms of the ratio. This would generally be the LCM of the funds.

For the given ratio, the LCM of b & c is bc.

Therefore, multiplying the first ratio by c and the second ratio by b, we get

First ratio - ca:bc

Another ratio - bc: bd

Thus, a continued proportion can be written as ca: bc: bd

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