Question

Variables x and y vary directly. If y = 48 when x = 16, what is the constant of variation (k) that relates x and y in the equation y = kx?
Responses
A 33
B 44
C 66
D 12
GPT 3.5
A 3

To find the constant of variation (k), you can use the equation y = kx along with the values given for x and y.

y = kx
48 = k(16)
48 = 16k
k = 48/16
k = 3

Therefore, the constant of variation (k) that relates x and y in the equation y = kx is 3.

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