The table shows the proportional relationship between the price for a certain number of buckets of golf balls at a driving range.
Buckets 3 5 7
Price (dollars) 28.50 47.50 66.50
Determine the constant of proportionality.
To determine the constant of proportionality, we can choose any two points from the table and calculate the ratio between the price and the number of buckets.
Let's choose the first two points: (3, 28.50) and (5, 47.50).
The ratio between the price and the number of buckets for these two points is:
28.50/3 = 9.5
47.50/5 = 9.5
We can see that the ratio is the same for both points, which means there is a constant proportionality between the price and the number of buckets.
Therefore, the constant of proportionality is 9.5.