Question

the following table shows a proportional relationship between m and n.

m n
3 21
5 35
8 56

write an equation to describe the relationship between m and n.
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 $\frac{n}{m}$ for each pair:
$\frac{21}{3}=7$, $\frac{35}{5}=7$, $\frac{56}{8}=7$

Step2: Write the proportional equation

For proportional relationships, $n = k \times m$ where $k$ is the constant.
Substitute $k=7$: $n = 7m$

Answer:

$n=7m$