Question

varies inversely with x. if y=8.5 when x=-1 find x when y=-1

Answer 1

Y=k/x
8.5=k/-1
K=-8.5
Y=-8.5/x
-1=-8.5/x
X=-8.5/-1
X=8.5
Hope this helps

Answer 2

The function y varies inversely with x. if y=8.5 when x=-1. The value of x is 8.5 when y=-1.

What is the directly proportional and inversely proportional relationship?

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

p = kq

where k is some constant number called the constant of proportionality.

This directly proportional relationship between p and q is written as

$p \propto q$  

where that middle sign is the sign of proportionality.

Now let m and n be two variables.

This inversely proportional relationship is denoted by

$m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}$

The function y varies inversely with x. if y=8.5 when x=-1

To find x when y=-1

Y = k/x

where k is some constant number called the constant of proportionality.

8.5 = k/-1

K = -8.5

Y = -8.5/x

-1 = -8.5/x

x = -8.5/-1

x = 8.5

Hence, The function y varies inversely with x. if y=8.5 when x=-1. The value of x is 8.5 when y=-1.

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