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10 votes
10 votes
The table shows a proportional relationship. x 1 2 3 y 16 32 48 Write an equation that represents the proportional relationship.

User Stefan R
by
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1 Answer

15 votes
15 votes

Answer:

y = 16x

Explanation:

You want an equation for the proportional relationship described by the (x, y) pairs (1, 16), (2, 32), (3, 48).

Proportional relation

A proportional relationship is described by the equation ...

y = kx

where 'k' is the constant of proportionality.

The value of k can be found as ...

k = y/x . . . . . . divide the above equation by x

Application

For the first pair of values in the table, this is ...

k = 16/1 = 16

The equation for the relation is y = 16x.

User Paul Clapham
by
2.9k points
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