To determine the constant of proportionality, we can look at the relationship between the number of uniform shirts and the cost. We can calculate the ratio of the cost to the number of uniform shirts for each set of data points.
For the first set of data points (9 uniform shirts and $148.50), the ratio is 148.50/9 = 16.50.
For the second set of data points (15 uniform shirts and $247.50), the ratio is 247.50/15 = 16.50.
For the third set of data points (21 uniform shirts and $346.50), the ratio is 346.50/21 = 16.50.
Since the ratio is the same for all three sets of data, the constant of proportionality is 16.50.
Therefore, the correct answer is 16.50.
The table shows the proportional relationship between the number of uniform shirts for a soccer team and the cost.
Number of Uniform Shirts Cost (in dollars)
9 148.50
15 247.50
21 346.50
Determine the constant of proportionality.
99.50
54
16.50
6
1 answer