The members of a health spa pay annual membership dues of $300 plus a charge of $2 for each visit to the spa. Let Y denote the d
ollar cost for the year for a member and X the number of visits by the member during the year. Express the relation between X and Y mathematically. Is it a functional relation or a statistical relation?
It is a functional relationship because a change in the value of X results in a corresponding change in the value of Y. And does not involve any uncertainty.
Step-by-step explanation:
Given:
Annual fixed due = $300
Variable cost = $2 per visit
X = number of visits in a year
Y = total yearly cost.
Y = annual cost + variable cost
Y = $300 + $2×X
Y = 300 + 2X
Y( in dollars)
It is a functional relationship because a change in the value of X results in a corresponding change in the value of Y. And does not involve any uncertainty.
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