To find the constant of proportionality for the relationship between cost and the number of strings, you can use the formula:
\[ \text{Constant of Proportionality} = \frac{\text{Cost}}{\text{Number of Strings}} \]
In this case, Jasmine buys 40 strings for $16. Plugging in the values:
\[ \text{Constant of Proportionality} = \frac{16}{40} \]
Calculating this gives:
\[ \text{Constant of Proportionality} = 0.4 \]
So the constant of proportionality is 0.4.
The correct answer is C 0.4.