Concept explainers
To find:The proportional relationship between the cost and the number of guests in a birthday party and the constant of proportionality by completing the table.
Answer to Problem 12IP
The cost of the birthday party is proportional to the number of guests and constant of proportionalityis
Explanation of Solution
Given information: The cost per person for a birthday partyis
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.
The cost for
To find cost for
To find cost for
To find cost for
To find cost for
To find cost for
The table showing rate of cost to number of persons is shown below:
Number of Persons | |||||
Cost ( |
The set to be said proportional, if cost to number of persons have equivalent rates. So, the expression for equivalent rates is:
Therefore, from the above expression it is clear that the cost of the birthday party is proportional to the number of the persons and constant of proportionalityis
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Glencoe Math Accelerated, Student Edition
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