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y is directly proportional to x. When y=30, x=6. What is the value of y when x= 12
Question
y is directly proportional to x. When y=30, x=6. What is the value of y when x= 12
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Mathematics
5 years
2021-08-03T18:20:36+00:00
2021-08-03T18:20:36+00:00 1 Answers
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Answer:
The value of y when x = 12 is equal to 60.
Step-by-step explanation:
Since, y is directly proportional to x, then it can be written as follows.
y ∝ x
y = kx … (1)
It is given that when y =30 and x = 6 then y is directly proportional to x.
Substitute 30 for y and 6 for x in equation (1) as follows:
30 = k(6)
k =
k = 5
To obtain the value of y if x = 12, then substitute 12 for x and 5 for k in equation (1) as follows:
y = 5(12)
y = 60
Therefore, the value of y when x = 12 is equal to 60.
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