Question

interpreting graphs of proportional relationships continued
the graph shows the distance jasons family traveled on a recent road trip.
use the graph to answer problems 6 - 8.
6 what is the constant of proportionality?
explain how you know.
7 identify and interpret one other point on the graph.

Explanation:

Step1: Recall the formula for constant of proportionality

For a proportional relationship $y = kx$, where $y$ is distance, $x$ is time and $k$ is the constant of proportionality. We can pick a point $(x,y)$ on the line. Let's take the point $(2,100)$.

Step2: Calculate the constant of proportionality

Using the formula $k=\frac{y}{x}$, substituting $x = 2$ and $y=100$, we get $k=\frac{100}{2}=50$.

Step3: Identify another point

Let's take the point $(4,200)$.

Step4: Interpret the point

The point $(4,200)$ means that after 4 hours of traveling, Jason's family has covered a distance of 200 miles.

Answer:

The constant of proportionality is 50. Another point is (4,200) which means after 4 hours of traveling, the family has covered 200 miles.