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Zarrin [17]
2 years ago
8

If x varies inversely as y 2, and x = 2 when y = 20, find x when y = 5.

Mathematics
1 answer:
Dominik [7]2 years ago
6 0

Step-by-step explanation:

x =  \frac{k}{y}

x varies inversely as y. This means that x is equal to the inverse of y which can be translated as x = 1/y but the problem said that x is <u>n</u><u>o</u><u>t</u><u> </u><u>e</u><u>x</u><u>a</u><u>c</u><u>t</u><u>l</u><u>y</u><u> </u><u>e</u><u>q</u><u>u</u><u>a</u><u>l</u><u> </u>to the inverse of y. Therefore, we need to introduce a factor k. Factor k will represent the word "varies" in the problem.

To illustrate:

x =  \frac{k}{y}

Since we don't have the value of k, we have to solve for it by using the first values of x and y which was given as x=2 and y=20.

x =  \frac{k}{y}  \\ 2 =  \frac{k}{20}  \\ k = 2(20) = 40

Now that we have the value of k, we can now solve for the value of x when y=5.

x =  \frac{k}{y}  \\  =  \frac{40}{5}  \\  = 8

Therefore, when y is 5, the value of x is 8.

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Step-by-step explanation:

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