Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.
Sagot :
A direct variation means that as one variable changes, another variable changes in the same direction as the first variable.
We can represent this relationship in the form:
[tex]\begin{gathered} p\propto q \\ \text{where p and q are the changing variables} \\ This\text{ relationship can be re-written as :} \\ p\text{ = k}\times q \\ \text{where k is the constant of variation} \end{gathered}[/tex]Now, we can assign values to q and p from the coordinates (3, 18).
After doing this, we can calculate the value of k
if p = 18 and q = 3
We have:
[tex]\begin{gathered} 18\text{ = k}\times3 \\ \text{divide both sides by 3} \\ k=\frac{18}{3}=6 \end{gathered}[/tex]Now that we have the constant of variation, we can calculate the value of n
[tex]\begin{gathered} n=2\times k \\ \text{but we know that k = 6} \\ n=2\times6=12 \end{gathered}[/tex]Therefore n = 12
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.
