Question

the table below shows a proportional relationship between a and b.

a	b
16	128
20	160

write a proportional equation for b in terms of a. use a whole number or fraction, not a decimal, in your equation.

Explanation:

Step1: Find the constant of proportionality

For a proportional relationship \( b = ka \), \( k=\frac{b}{a} \). Using the first pair \( a = 14 \), \( b = 112 \), \( k=\frac{112}{14}=8 \).

Step2: Write the proportional equation

Substitute \( k = 8 \) into \( b = ka \), so \( b = 8a \).

Answer:

\( b = 8a \)