Question

(1,0.75)
(4,3)
(8,6)
constant of proportionality

Answer 1

To find the constant of proportionality for the given pairs of values, we can look for the ratio of the second number to the first number in each pair.

Given points:
1. (1, 0.75)
2. (4, 3)
3. (8, 6)

The constant of proportionality \( k \) can be found using the formula:

\[
k = \frac{y}{x}
\]

for each pair \((x, y)\).

1. For (1, 0.75):
\[
k = \frac{0.75}{1} = 0.75
\]

2. For (4, 3):
\[
k = \frac{3}{4} = 0.75
\]

3. For (8, 6):
\[
k = \frac{6}{8} = 0.75
\]

In each case, the constant of proportionality \( k \) is \( 0.75 \). Thus, the constant of proportionality for all the pairs is \( 0.75 \).