Concept explainers
To find:The two similar situations showing proportional and non-proportional relationship and the constant of proportionality.
Answer to Problem 15HP
The amount of money earns is both proportional and non-proportional to number of hours in two similar situations and the constant of proportionalityis
Explanation of Solution
Given information: The proportional and non-proportional relationship needed to be proved by two similar situations.
Calculation:
Two quantities in which the ratio or rate is constant, are to be said proportional and if the rates are not constant, then the quantities are said to be non-proportional. The constant ratio which is defining whether the two quantities are said to be proportional or not is known as constant of proportionality.
Consider an example:
Sahil earns
The table showing amount of money he earns for different number of hours is shown below:
Earning( | ||||
Number of hour( |
The set to be said proportional, if earning to number of hour have equivalent rates. So, the expression for equivalent rates is:
Therefore, from the above expression it is clear that the amount of money is proportional to the number of the hour and constant of proportionality is
Anothertable showing amount of money Sahil earns for different number of hours for housekeeping is shown below:
Earning( | ||||
Number of hour( |
The set to be said proportional, if earning to number of hour have equivalent rates. So, the expression for equivalent rates is:
Therefore, from the above expression it is clear that the amount of money is not proportional to the number of the hour.
Chapter 5 Solutions
Glencoe Math Accelerated, Student Edition
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