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If y varies inversely as x and y = 320 when x = 25, how do you find y when x is 40?

Answer 1

To find y when x is 40, we can use the inverse variation formula: y = k/x. First, we need to find the constant of variation (k). We can do this by substituting the given values into the formula: 320 = k/25. Solving for k, we get k = 320 * 25 = 8000. Now we can use this value of k to find y when x is 40: y = 8000/40 = 200. Therefore, when x is 40, y is 200.

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Answer 2

Genesis Allen

#y=200#.

If #y# is inversely as #x#, it means that it exists an equation like

#y=k/x# where #k# is a constant.

We know that when #x=25#, #y=320#, so we have

#320=k/25#. From here we can calculate #k# as

#k=320*25=8000#.

Then the equation is

#y=8000/x#.

We can now calculate #y=8000/40=200#.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.