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If y varies inversely as x and y is 2.5 when x is 6, what is y when x is 4? a. 3.75 b. 1.67 c. 0.1 d. 7.5 Please select the best answer from the choices provided

Respuesta :

Because y varies inversely as x, therefore
[tex]y= \frac{k}{x} [/tex]
where k =  constant.

When x = 6, y = 2.5. Ther efore
[tex] \frac{k}{6} = 2.5[/tex]
Cross multiply.
k = 6 x 2.5 = 15

The equation is
[tex]y = \frac{15}{x} [/tex]

When x = 4, obtain
[tex]y = \frac{15}{4}= 3.75[/tex]

Answer: a. 3.75

merlynthewhizz
Inverse proportion is given in the form
[tex]y= \frac{k}{x} [/tex]

We need to work out the constant, k, by substituting x = 6 and y = 2.5
[tex]2.5= \frac{k}{6} [/tex]
[tex]k=2.5*6[/tex]
[tex]k=15[/tex]

The value of y when x = 4
[tex]y = \frac{15}{x} [/tex]
[tex]y= \frac{15}{4} [/tex]
[tex]y=3.75[/tex]

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