Answer:
The constant of proportionality is 1/25.
Step-by-step explanation:
Chart values:
a | b
75 3
200 8
1525 61
10 0.4
To find the constant, divide your "b" values by your "a" values.
3/75 simplifies to 1/25 (GCF is 3)
8/200 simplifies to 1/25 (GCF is 8)
61/1525 simplifies to 1/25 (GCF is 61)
0.4/10 becomes 4/100, which simplifies to 1/25 (GCF is 4)
Since all four come to the same constant, 1/25 is the constant of proportionality.
The equation here would be:
[tex]b=\frac{1}{25}a\\b=\frac{a}{25}[/tex]
The first one is normally, the second is in slope form.