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Suppose y varies directly with x. Write a direct variation equation that relates x and y. Then find the value of y when x=16… y=7 wh
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Suppose y varies directly with x. Write a direct variation equation that relates x and y. Then find the value of y when x=16…
y=7 when x=2
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Mathematics
5 years
2021-08-06T19:14:02+00:00
2021-08-06T19:14:02+00:00 2 Answers
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Answers ( )
The formula for direct variation is y = kx
Using the known x and y solve for k:
7 = k2
Divide both sides by 2:
k =7/2 = 3.5
Now solve for y when x = 16:
y = 3.5(16)
y = 56
Step-by-step explanation:
y = kx, where k is a real constant.
When x = 2, y = 7.
=> (7) = k(2), 2k = 7, k = 3.5.
Therefore when x = 16,
y = (3.5)(16) = 56.
The value of y is 56 when x is 16.