If y varies inversely as x, and the two values of x are in the ratio 3:2, what is the ratio of the corresponding values of y?

Answer 1

The ratio of the corresponding values of y is 2:3.

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Answer 2

The question is not clear about all the relationships. So I have guessed. I am not convinced that I have interpreted you question correctly.

#color(blue)("If y varies inversely as x: "->)y=k/x# where #k# is some constant #color(blue)("and the two values of x: ")-> y_1=k/x_1" "y_2=k/x_2#
....................................................................................................... #color(blue)("are in the ratio of 3:2 ")->color(brown)(" building the relationship:")#

Not that 3 parts and 2 parts make a total of 3+2 parts=5 parts

Let #a# be some constant. Then I choose #a# such that
#3/5a=x_1 and 2/5a=x_2#
#=>y_1=k/(3/5a) and y_2=k/(2/5a)# ..........................................................................................
#color(blue)("What is the ratio of the corresponding values of y")#
I chose the order of the ratio to be: #" "y_1:y_2->y_1/y_2#
So we have #y_1/y_2-> k/(3/5a) -: k/(2/5a)#
#(5k)/(3a)-:(5k)/(2a)" " =" "(5k)/(3a)xx(2a)/(5k) = 2/3 ->2:3#
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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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