Answer :
In an inverse variation, the function takes the form xy=k
where k is a constant.
Given g(10)=3.5, we find k=xy=3.5*10=35.
This means the function is
m*g(m)=35
When g(m)=5, then m=35/5=7.
where k is a constant.
Given g(10)=3.5, we find k=xy=3.5*10=35.
This means the function is
m*g(m)=35
When g(m)=5, then m=35/5=7.
Answer:
M = 7
Step-by-step explanation:
As g(m) varies inversely with M, that is represented by the expression:
[tex]g(m)=\frac{1}{M}[/tex]
Now we have to introduce a constant of proportionality (k), that is multiplying the function:
[tex]g(m)=\frac{1}{M}*k[/tex]
Then we can replace the given values to find the value of k:
When m=10, g(m)=3.5
[tex]g(m)=\frac{1}{M}*k\\k=g(m)*M[/tex]
k=3.5*10
k=35
Now, we can replace the given value of g(m)=5 to find M:
[tex]M=\frac{1}{g(m)}*k\\M=\frac{1}{5}*35\\M=7[/tex]