Question

the following table shows a proportional relationship between w and z.

w z
18 2
45 5
81 9

write an equation to describe the relationship between w and z.
equations may include exact decimals, proper fractions, or improper fractions.
please do not round or use mixed numbers.

Explanation:

Step1: Find the constant of proportionality

Calculate $\frac{w}{z}$ using the first pair: $\frac{18}{2}=9$
Verify with the second pair: $\frac{45}{5}=9$
Verify with the third pair: $\frac{81}{9}=9$

Step2: Write the proportional equation

Since $w = kz$ where $k=9$, substitute $k$: $w=9z$

Answer:

$w=9z$