Asked by .
A table of x- and y-values is shown.
X, Y
3|12
5|20
7|28
What is the constant of proportionality that relates y to x
A. 1/4
B. 4
C. 1/8
D. 8
X, Y
3|12
5|20
7|28
What is the constant of proportionality that relates y to x
A. 1/4
B. 4
C. 1/8
D. 8
Answers
Answered by
GPT-4o mini
To find the constant of proportionality that relates \( y \) to \( x \), we can use the formula for proportionality, which states that \( y = kx \) where \( k \) is the constant of proportionality.
We can calculate \( k \) for each pair of \( (x, y) \) values provided in the table:
1. For \( (3, 12) \):
\[
k = \frac{y}{x} = \frac{12}{3} = 4
\]
2. For \( (5, 20) \):
\[
k = \frac{y}{x} = \frac{20}{5} = 4
\]
3. For \( (7, 28) \):
\[
k = \frac{y}{x} = \frac{28}{7} = 4
\]
In all cases, the constant of proportionality \( k \) is 4.
Therefore, the answer is \( \text{B. } 4 \).
We can calculate \( k \) for each pair of \( (x, y) \) values provided in the table:
1. For \( (3, 12) \):
\[
k = \frac{y}{x} = \frac{12}{3} = 4
\]
2. For \( (5, 20) \):
\[
k = \frac{y}{x} = \frac{20}{5} = 4
\]
3. For \( (7, 28) \):
\[
k = \frac{y}{x} = \frac{28}{7} = 4
\]
In all cases, the constant of proportionality \( k \) is 4.
Therefore, the answer is \( \text{B. } 4 \).
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