torilindsey2 torilindsey2
  • 22-05-2020
  • Mathematics
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Suppose that y varies inversely with x. Given x=-3 when y=-105. Find y when x is 15

Suppose that y varies inversely with x Given x3 when y105 Find y when x is 15 class=

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CHERLYNnotCHERRY
CHERLYNnotCHERRY CHERLYNnotCHERRY
  • 22-05-2020

Answer:

The value of y is 21.

Step-by-step explanation:

The formula of inversely proportional is y = k/x where k is a constant. So in order to find y, you first have to find the value of k by substituing x and y values into the formula :

[tex]y = \frac{k}{x} [/tex]

Let y = -105,

Let x = -3,

[tex] - 105 = \frac{k}{ - 3} [/tex]

[tex]k = - 105 \times - 3[/tex]

[tex]k = 315[/tex]

We have already found k value. Next you have to find the value of y :

[tex]y = \frac{315}{x} [/tex]

Let x = 15,

[tex]y = \frac{315}{15} [/tex]

[tex]y = 21[/tex]

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