Answer :
you have (9,5) & (x,6)
so 9 = k/5
k = 9*5 =45
so 2nd set up have x = 45/6
x = 7.5 = 7 1/2
Answer is C
Answer:
C. [tex]x=7\frac{1}{2}[/tex]
Step-by-step explanation:
We have been given a pair of points on a graph of an inverse variation. We are asked to find the missing value for our given point.
We know that when y varies inversely with x, then the equation is: [tex]y=\frac{k}{x}[/tex], where, k represents constant of variation.
First of all, we will find constant of variation using point [tex](9,5)[/tex] as shown below:
[tex]5=\frac{k}{9}[/tex]
[tex]5*9=\frac{k}{9}*9[/tex]
[tex]45=k[/tex]
Upon substituting [tex]k=45[/tex] in inversely proportion we will get:
[tex]y=\frac{45}{x}[/tex]
To find the value of x, we will substitute [tex]y=6[/tex] in our equation as:
[tex]6=\frac{45}{x}[/tex]
[tex]x=\frac{45}{6}[/tex]
[tex]x=\frac{15}{2}[/tex]
[tex]x=7\frac{1}{2}[/tex]
Therefore, the missing value is [tex]7\frac{1}{2}[/tex] and option C is the correct choice.