Answered

Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Discover a wealth of knowledge from experts across different disciplines on our comprehensive Q&A platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

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]
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.