GROWTH DEVELOPMENT CHILD
SUMMATIVE ASSESSMENT
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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Stays the same
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Doubles also
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Half as large
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1/4 as large
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Detailed explanation-1: -y = c 1/x. Intuitively this means that if x doubles then y is reduced by 1/2 and if x triples then y is reduced by 1/3. For example if you are going on a 200 mile drive then the time it takes, y, is inversely proportional to your average speed, x. y = 200 1/x.
Detailed explanation-2: -And we can determine the factor change of y by substituting 2 for the the factor change of x. So, when x is doubled, y is quadrupled.
Detailed explanation-3: -The phrase “ y varies inversely as x” or “ y is inversely proportional to x” means that as x gets bigger, y gets smaller, or vice versa. This concept is translated in two ways. yx = k for some constant k, called the constant of proportionality.
Detailed explanation-4: -and hence z will also be doubled.