This is a proportinal relationship
A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other remains constant. This means that as one quantity increases or decreases, the other quantity also increases or decreases by the same factor.
In a proportional relationship, if you double one quantity, the other quantity will also double. Similarly, if you halve one quantity, the other quantity will also halve. The constant ratio between the two quantities is called the constant of proportionality.
For example, if the cost of buying 4 apples is $8, then the cost of buying 8 apples would be $16, maintaining the constant ratio of $2 per apple.
Mathematically, a proportional relationship can be expressed as y = kx, where y represents the dependent variable, x represents the independent variable, and k represents the constant of proportionality.
In summary, a proportional relationship means that as one quantity changes, the other quantity changes in direct proportion to it.
To determine if a relationship is proportional, you need to check if the ratio between two quantities remains constant as one quantity increases or decreases.
Here are the steps to determine if a relationship is proportional:
1. Identify the two quantities involved in the relationship. Let's call them X and Y.
2. Choose different values for X and calculate the corresponding values for Y.
3. Calculate the ratio Y/X for each pair of values.
4. If the ratio Y/X remains constant for all pairs of values, the relationship is proportional. In other words, if the ratio Y/X is the same for any pair of values, then it is proportional.
5. If the ratio Y/X is not constant, then the relationship is not proportional.
6. You can also plot the values on a graph and see if they lie on a straight line passing through the origin (0, 0). If they do, then the relationship is proportional.
Remember, a proportional relationship implies that when one quantity doubles, the other quantity will also double, triple, quadruple, and so on.