The function y varies inversely with x. if y=8.5 when x=-1. The value of x is 8.5 when y=-1.
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
[tex]p \propto q[/tex]
where that middle sign is the sign of proportionality.
Now let m and n be two variables.
This inversely proportional relationship is denoted by
[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]
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.
Learn more about directly inversely proportional ;
https://brainly.com/question/13082482
#SPJ2
