Determine the constant of proportionality (k) for the table and write the relationship between y and x.

x: 9 4 2 11
y:63 28 14 77

(1 point)
Responses

k = 17
k = 1 seventh

k = −17
k = negative 1 seventh

k = -7
k = -7

k = 7
k = 7
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1 answer

To determine the constant of proportionality, we can choose two points from the table and divide the corresponding y-values by the x-values. Let's choose the points (9, 63) and (4, 28):

k = 63 / 9 = 7
k = 28 / 4 = 7

Therefore, the constant of proportionality (k) is 7.

The relationship between y and x is y = 7x.