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Oksanka [162]
3 years ago
8

Which equation represents inverse variation between x and y?

Mathematics
1 answer:
postnew [5]3 years ago
6 0

Inverse variation means

When the value of x increases the value of y decreases.

When the value of x decreases the value of y increases.

So for an inverse variation we have the expression

y=\frac{k}{x}

or

x=\frac{k}{y}

The expression which represents this condition is

x=-\frac{15z}{y}

Hence option b) or the second option is the right answer.

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Step-by-step explanation:

Data:

Pool A:  r = 22 ft

Pool B: D = 13.6 m  

Calculations:

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2. Diameter of Pool A

D =2r = 2 × 6.71 = 13.42 m

The diameter of Pool A is 13.42 m.

3. Compare pool diameters

The diameter of Pool B is 13.6 m.

So, the diameter of Pool <u>B</u> is greater.

4. Compare circumferences

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C = 2πr or C = πD

Pool A: C = 2π × 6.71 = 42.16 m

Pool B: r =    π × 13.6 = 42.73 m

Pool B - Pool A = 42.73 - 42.16 = <u>0.57 m </u>

The circumference is greater by <u>0.57 m.</u>

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