Question

The student council is preparing drinks to sell at a fall festival. The table shows the proportional relationship between the total cost to make the drinks and the number of drinks made.

Drinks Made Total Cost
0 $0.00
2 $1.08
5 $2.70
9 $4.86
10 $5.40

What is the constant of proportionality in terms of the number of dollars per drink?
A.
0.27
B.
0.54
C.
0.41
D.
1.08

Answer 1

To determine the constant of proportionality in terms of dollars per drink, you can take any pair of values from the table and divide the total cost by the number of drinks made.

Using the values from the table:

1. **From 2 drinks:**
Total Cost = $1.08
Drinks Made = 2
Constant of Proportionality = \( \frac{1.08}{2} = 0.54 \)

2. **From 5 drinks:**
Total Cost = $2.70
Drinks Made = 5
Constant of Proportionality = \( \frac{2.70}{5} = 0.54 \)

3. **From 9 drinks:**
Total Cost = $4.86
Drinks Made = 9
Constant of Proportionality = \( \frac{4.86}{9} = 0.54 \)

4. **From 10 drinks:**
Total Cost = $5.40
Drinks Made = 10
Constant of Proportionality = \( \frac{5.40}{10} = 0.54 \)

In each case, the calculation gives a constant of proportionality of $0.54 per drink.

Thus, the answer is **B. 0.54**.