Answered

Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Get accurate and detailed answers to your questions from a dedicated community of experts on our Q&A platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

The value of [tex]$y$[/tex] varies directly with [tex]$x$[/tex]. If [tex][tex]$y = 3$[/tex][/tex] when [tex]$x = -1$[/tex], solve for [tex]k[/tex].

Remember: [tex]y = kx[/tex]

[tex]k = \, ?[/tex]

Sagot :

GinnyAnswer
To solve for the constant of variation [tex]\( k \)[/tex] in the equation where [tex]\( y \)[/tex] varies directly with [tex]\( x \)[/tex], we start with the given relationship:

[tex]\[ y = kx \][/tex]

Given:
[tex]\[ y = 3 \][/tex]
[tex]\[ x = -1 \][/tex]

We can substitute these values into the equation to solve for [tex]\( k \)[/tex]:

[tex]\[ 3 = k \cdot (-1) \][/tex]

Next, isolate [tex]\( k \)[/tex] by dividing both sides of the equation by [tex]\(-1\)[/tex]:

[tex]\[ k = \frac{3}{-1} \][/tex]

Simplifying this division:

[tex]\[ k = -3.0 \][/tex]

Thus, the value of [tex]\( k \)[/tex] is:

[tex]\[ k = -3.0 \][/tex]
Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.