Constant of proportionaility #1 2/30 = 1/15
Constant of proportionaility #2 d/t
1 distance divided by time
Relationship: equality
Reason: they all represent velocity and they tell us that velocity is constant.
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15 and 1/15 (answer)
Steps:
Given
Time (t) = 30 minutes
distance (d) = 2 miles
To determine the first constant of proportionality
Let time be directly proportional to distance.
t = kd
Where k is the constant of proportionality
Make k the subject
k = t/d
Substitute values for t and d
k = 30/2
k = 15
To determine the second,
Let distance be directly proportional to time.
d = kt
Make k the subject
k = d/t
Substitute values for d and t
k = 2/30
k = 1/15
Hence, the constant of proportionality are
15 and 1/15
