Suppose that y varies inversely with x. Given x=-3 when y=-105. Find y when x is 15

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]