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If you bicycle 42 miles in 2 hours, what is the direct variation equation?

User Ledzz
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1 Answer

1 vote
Answer:

d = 21t

Step-by-step explanation:

Let the distance bicycled be represented by d

Let the time taken be represented by t

The direct variation between distance and time is:

d α t

Introducing a constant of proportionality, k

d = kt

distance, d = 42 miles

t = 2 hours

Substitute d = 42 and t = 2 into the equation d = kt in order to solve for k

42 = k(2)

k = 42/2

k = 21

Since k = 21, the direct variation equation becomes:

d = 21t

User Christian Kuhn
by
8.1k points

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