If y varies inversely as x and y = 40 when x = 16, how do you find y when x = 10?

Answer 1

#y=64#

The method for these questions always stays the same. Follow the process below.

#y prop 1/x" "larr# write as an inverse proportion
#y= k/x" "larr xx k# to change it into an equation
#xy= k" "larr# isolate #k#
#k = 16xx40 = 640" "larr# substitute to find the value of #k#
#y = 640/x" "larr# use the value for #k# in the equation.
Now you can find a value for #x or # y if you are given a value.
#x=10#
#y = 640/10 #
#y=64#
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Answer 2

To find y when x = 10, we can use the inverse variation formula. Inverse variation states that y is inversely proportional to x, which can be expressed as y = k/x, where k is the constant of variation.

To find the value of k, we can use the given information. When y = 40 and x = 16, we can substitute these values into the formula: 40 = k/16.

To solve for k, we can multiply both sides of the equation by 16: 40 * 16 = k. This gives us k = 640.

Now that we have the value of k, we can substitute it back into the inverse variation formula: y = 640/x.

To find y when x = 10, we substitute x = 10 into the formula: y = 640/10.

Simplifying this expression, we find that y = 64.

Therefore, when x = 10, y is equal to 64.

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Answer 3

If y varies inversely as x, it means that their product remains constant. To find y when x is 10, you can set up the equation using the given information:

y * x = k

where k is the constant of variation.

Given that y = 40 when x = 16, you can solve for k:

40 * 16 = k k = 640

Now that you have the value of k, you can find y when x = 10:

y * 10 = 640

Divide both sides by 10 to isolate y:

y = 640 / 10 y = 64

Therefore, when x is 10, y is 64.

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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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