Question

scientists are tracking a wolf. the graph shows the proportional relationship between the amount of time the wolf runs, x, and the total distance it runs, y. which equation shows the relationship between x and y? $y = 24x$ $y = 12x$ $y = 8x$ $y = \frac{3}{2}x$

Explanation:

Step1: Pick a point from the graph

Choose the point $(x=2, y=24)$

Step2: Calculate the proportionality constant

The proportional relationship is $y=kx$, so $k=\frac{y}{x}=\frac{24}{2}=12$

Step3: Verify with another point

Use $(x=4, y=48)$: $k=\frac{48}{4}=12$, confirms the constant.

Answer:

$y = 12x$