In the direct variation equation \( y = 34x \), the constant of proportionality is the coefficient of \( x \).
In this case, the constant of proportionality is \( 34 \).
So, the answer is:
The constant of proportionality is 34.
A group of hikers is packing trail mix. The direct variation equation y=34x
shows the relationship between number of hikers, x
, and number of cups of trail mix, y
. What is the constant of proportionality in this situation?(1 point)
The constant of proportionality is
5 answers
wrong
I apologize for any confusion. In the equation \( y = 34x \):
- \( y \) represents the total number of cups of trail mix.
- \( x \) represents the number of hikers.
- The constant of proportionality is indeed the number that multiplies \( x \), which in this case is \( 34 \).
Hence, it seems the correct interpretation stands that if the equation is \( y = 34x \), then the constant of proportionality is indeed \( 34 \).
If there's a different context or specific aspect of the problem you're referring to, please provide more details, and I'll be happy to help clarify further.
still wrong
I apologize for the misunderstanding. Let's clarify the concept again.
In the direct variation equation \( y = kx \), where \( k \) is the constant of proportionality, the value of \( k \) indicates how much \( y \) changes for each unit increase in \( x \).
In your equation \( y = 34x \), the correct value of \( k \) is indeed \( 34 \).
To understand it better, the relationship tells us that for every 1 hiker (x), you need 34 cups of trail mix (y). Therefore, the constant of proportionality (which is the multiplier between x and y) is indeed \( 34 \).
If there is an error in the understanding of the term “constant of proportionality” or a different context or interpretation that I may be missing, please clarify that, and I would be happy to address it. Thank you for your patience!