Question

the table below shows a proportional relationship between y and z.

y	z
99	11
153	17

find the constant of proportionality from y to z. express your answer as a fraction in reduced terms.
answer attempt 1 out of 2

Explanation:

Step1: Recall proportionality formula

For a proportional relationship \( y = kz \), the constant of proportionality \( k=\frac{y}{z} \).

Step2: Calculate \( k \) using first pair

Take \( y = 72 \), \( z = 8 \). Then \( k=\frac{72}{8} \).

Step3: Simplify the fraction

\( \frac{72}{8}=\frac{9}{1} = 9 \). Verify with other pairs: \( \frac{99}{11}=9 \), \( \frac{153}{17}=9 \).

Answer:

\( 9 \) (or as a fraction \( \frac{9}{1} \))