If y varies inversely with x, and y = 5 when x = 7, what is the value of y when x = 4?

Answer 1

To find the value of y when x = 4, we can use the inverse variation equation. The equation for inverse variation is y = k/x, where k is the constant of variation.

Given that y = 5 when x = 7, we can substitute these values into the equation to solve for k:

5 = k/7

To find the value of k, we can multiply both sides of the equation by 7:

35 = k

Now that we have the value of k, we can substitute it back into the inverse variation equation and solve for y when x = 4:

y = 35/4

Therefore, when x = 4, the value of y is 35/4.

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Answer 2

#y = 8 3/4# when #x = 4#

An inverse variation: #y = k/x#
We are given #y# and #x#. We need to solve for #k# so we can find #y# when #x# equals #4#.
#5 = k/7#
#7/1 * 5 = k/cancel7 * cancel7/1#
#35 = k#
We found what #k# is, so know we can make our inverse variation equation.
#y = 35/x#
Now let's plug in #4# for #x# to find #y#.
#y = 35/4#
#y = 8 3/4#
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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.

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.

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.

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.

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