Proportional Line Math Example 2

Follow the full solution, then compare it with the other examples linked below.

medium

Does the table represent a proportional relationship?

x

: 2, 4, 6;

y

: 5, 10, 15.

1
Check the ratio $\frac{y}{x}$ for each pair: $\frac{5}{2} = 2.5$ , $\frac{10}{4} = 2.5$ , $\frac{15}{6} = 2.5$ .
2
The ratio is constant: $k = 2.5$ .
3
Yes, this is proportional: $y = 2.5x$ .

Answer

Yes,

y = 2.5x

(proportional).

A relationship is proportional if the ratio

\frac{y}{x}

is the same for every data point. The line passes through the origin.

About Proportional Line

A straight line that passes through the origin, representing a proportional relationship of the form $y = kx$ with constant ratio $k$ .

A recipe uses 3 cups of flour for every 2 cups of sugar. Write the relationship as [formula] and fin

If [formula], find [formula] when [formula].

Is [formula] a proportional relationship? Why or why not?