Question

eagle airlines flies charter planes all over the world. isabella, one of the airlines top pilots, flies routes in europe and north africa. this table shows the relationship between the distance isabella flies (in kilometers), x, and the amount of fuel her plane uses (in kilograms), y.

x (kilometers)	y (kilograms)
230	687.7
260	777.4
320	956.8

according to the values in the table, do x and y have a proportional relationship? yes no

Explanation:

Step1: Calculate the ratio for each pair

For the first pair: $\frac{y_1}{x_1}=\frac{508.3}{170}=2.99$.
For the second pair: $\frac{y_2}{x_2}=\frac{687.7}{230}=2.99$.
For the third pair: $\frac{y_3}{x_3}=\frac{777.4}{260}=2.99$.
For the fourth pair: $\frac{y_4}{x_4}=\frac{956.8}{320}=2.99$.

Step2: Check if ratios are equal

Since $\frac{y_1}{x_1}=\frac{y_2}{x_2}=\frac{y_3}{x_3}=\frac{y_4}{x_4}=2.99$, the ratio of $y$ to $x$ is constant for all data - points.

Answer:

yes