If "y" is inversely proportional to "x" and "y"=15 when "x"=5, What is the value of "y" when "x"=25?

Answer 1

#y=3#

#"the initial statement is "yprop1/x#
#"to convert to an equation multiply by k the constant"# #"of variation"#
#rArry=kxx1/x=k/x#
#"to find k use the given condition"#
#y=15" when "x=5#
#y=k/xrArrk=yx=15xx5=75#
#"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=75/x)color(white)(2/2)|)))#
#"when "x=25" then"#
#y=75/25=3#
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Answer 2

If ( y ) is inversely proportional to ( x ), then the product of ( x ) and ( y ) remains constant.

So, if ( y = 15 ) when ( x = 5 ), then ( x \times y = 5 \times 15 = 75 ).

When ( x = 25 ), ( y ) can be found by dividing the constant product by ( x ):

( y = \frac{75}{25} = 3 ).

Therefore, when ( x = 25 ), ( y = 3 ).

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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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