Question

Problem 3
Each table represents a proportional relationship. For each, find the constant of proportionality,
and write an equation that represents the relationship.
a.
S
2
3
1.0
5
10
P
8
12
20
40
Constant of proportionality:
Equation:
P =

Answer 1

To find the constant of proportionality and write an equation for this relationship, you can use the formula:

Constant of proportionality (k) = P / S

Let's calculate it for each pair of values:

For the first pair (S=1.0, P=8):
k = 8 / 1.0 = 8

For the second pair (S=2, P=12):
k = 12 / 2 = 6

For the third pair (S=5, P=20):
k = 20 / 5 = 4

Now, you can write an equation with the constant of proportionality:

P = k * S

So, the equation that represents the relationship is:

P = 8 * S for the first pair,
P = 6 * S for the second pair,
P = 4 * S for the third pair.