Question

gia is making chocolate truffles. using the table, find the constant of proportionality.

ounces of milk (x)	amount of truffles (y)
45	24

\\(\frac{8}{15}\\)
\\(\frac{15}{8}\\)
\\(\frac{1}{2}\\)
2

Explanation:

Step1: Recall the formula for constant of proportionality

For a proportional relationship \( y = kx \), the constant of proportionality \( k \) is given by \( k=\frac{y}{x} \).

Step2: Calculate \( k \) for the first pair of values

Using \( x = 30 \) and \( y = 16 \), we have \( k=\frac{16}{30}=\frac{8}{15} \).

Step3: Verify with the second pair of values

Using \( x = 45 \) and \( y = 24 \), we have \( k=\frac{24}{45}=\frac{8}{15} \) (after simplifying by dividing numerator and denominator by 3).

Answer:

\(\frac{8}{15}\) (corresponding to the option \(\frac{8}{15}\))