Chapter 6.5, Problem 43HP

To determine

To describe: The method of proportion to solve the problem be easier way.

Explanation of Solution

Given: A equation to solve by constant of proporionality.

This is direction or indirect proportion. Using this to solve any factor easy way .

If a quality increase with fixed multiple of constant then it easy to calculate future value.

If the constant of proportion is direct then according to time both quality increase.

For example: If 1 m cloth cost be $5 and to find the cost of 10 m cloth.

This is direct variation problem because as length of cloth increase their price must be increases.

  $\begin{array}{ccc}\text{Length of cloth}& 1& 10\\ \text{Cost of cloth}& 5& 50\end{array}$

Yes, it matter which method need to use for particular problem.

For direct proportion: If a quality is increase another quantity must be increase.

For indirect proportion: If a quantity increase another quantity must be decrease.

Use different method for different problem because it depends on the data vary.