Question

the graph shows the number of hours it takes to hike a specific distance. hiking distance. distance (mi) time (h) what does the point (5,6) represent? it takes 1 hour to hike 1.2 miles. it takes 5 hours to hike 6 miles. it takes 1.2 hours to hike 1 mile. it takes 6 hours to hike 5 miles. is this graph proportional?

Explanation:

Step1: Interpret point (5,6)

The x-axis is Time (h), y-axis is Distance (mi). So $(x,y)=(5,6)$ means 5 hours, 6 miles.

Step2: Check proportionality

A proportional graph passes through (0,0) and has a constant ratio $\frac{y}{x}$. Here, $\frac{6}{5}=1.2$, $\frac{y}{x}$ is constant, and line passes through (0,0).

Answer:

For the point (5,6):

It takes 5 hours to hike 6 miles.

For proportionality:

Yes, this graph is proportional.