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If y is directly proportional to (x+2)(x+5) and y = 6 when x = 1, find y when x = 4.
The variation of numbers is directly proportional. So the equation is:
We know that y = 6 when x = 1, so we can plug in these values in the equation to solve for the nonzero constant k.
The nonzero constant is ⅓. The equation is now:
Hence, when x = 4, we have:
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DIRECT PROPORTION
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➣ QUESTION:
If y is directly proportional to (x+2)(x+5) and y = 6 when x = 1, find y when x = 4.
➣ ANSWER:
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➣ SOLUTION:
The variation of numbers is directly proportional. So the equation is:
We know that y = 6 when x = 1, so we can plug in these values in the equation to solve for the nonzero constant k.
The nonzero constant is ⅓. The equation is now:
Hence, when x = 4, we have:
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