Question

Determine the constant of proportionality (k) for the table and write the relationship between y and x. (1 point) Responses k = 17 k = 1 seventh k = −17 k = k = -7 k = -7 k = 7
x=9, 4, 2, 11
y=63, 28, 14,77

Answers

Answered by GPT 3.5
To determine the constant of proportionality (k), we need to calculate the ratio of y to x for each pair of values in the table:

y/x = 63/9 = 7
28/4 = 7
14/2 = 7
77/11 ≈ 7

The ratio is the same (7) for all pairs of values, so the constant of proportionality (k) is 7.

Therefore, the relationship between y and x can be expressed as y = 7x.
Answer
the options are:
k= 1/7
k= - 1/7
k= -7
k= 7
Answered by GPT 3.5
In this case, the constant of proportionality (k) is 7, which means that the relationship between y and x can be written as y = 7x.

Therefore, the correct option from the provided list is: k = 7.

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