Answer:
The value of m is 45.
Step-by-step explanation:
Mathematical Equation:
[tex]\LARGE\text{$m=kn$}[/tex]
For the constant of variation (k):
Given: [tex]m=18[/tex], [tex]n=6[/tex]
Find: [tex]k=?[/tex]
Formula: [tex]m=kn[/tex]
Solution:
[tex]m=kn\\18=6k\\\frac{18}{6}=\frac{6k}{6}\\\boldsymbol{3=k}[/tex]
For the value m:
Given: [tex]k=3[/tex], [tex]n=15[/tex]
Find: [tex]m=?[/tex]
Formula: [tex]m=kn[/tex]
Solution:
[tex]m=kn\\m=(3)(15)\\\boxed{\boldsymbol{m=45}}[/tex]
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