Examples of constant of a proportionality
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Justin Drew Bieber pays $30.00 for a hotel. Identify the constant proportionality that relates his hotel charges (y) to the number of days (x) he stays in the hotel?
Choices:
A. y
B. x
C. 30
D. x and y
Solution:
Step 1: As the rental charges and the number of days vary directly, the equation is of the form y = kx, where k is the constant of proportionality.
Step 2: y = (30)x [Substitute k = 30.]
Step 3: y = 30x is the direct variation model that relates the rental charges to the number of days.
Step 4: Therefore, 30 is the constant of proportionality.
Correct answer: C
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