Answered

Looking for reliable answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Get detailed and accurate answers to your questions from a dedicated community of experts on our 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]$y = 40$[/tex][/tex] and [tex]$x = 8$[/tex], solve for [tex]k[/tex].

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

[tex]k = \, \text{[?]}[/tex]

Sagot :

GinnyAnswer
To solve for the constant [tex]\( k \)[/tex] in the direct variation equation [tex]\( y = kx \)[/tex], we follow these steps:

1. Identify the given values: We are provided with [tex]\( y = 40 \)[/tex] and [tex]\( x = 8 \)[/tex].

2. Write the direct variation equation: The relationship between [tex]\( y \)[/tex] and [tex]\( x \)[/tex] is given by [tex]\( y = kx \)[/tex]. We need to solve for [tex]\( k \)[/tex].

3. Substitute the given values into the equation:
[tex]\[ 40 = k \cdot 8 \][/tex]

4. Solve for [tex]\( k \)[/tex]:
[tex]\[ k = \frac{40}{8} \][/tex]

5. Calculate the value:
[tex]\[ k = 5.0 \][/tex]

Thus, the constant [tex]\( k \)[/tex] is [tex]\( 5.0 \)[/tex].
We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.