Question

each time the value of t increases by 1, the value of d increases by 3. with each additional hour, the distance the lava travels increases by 3 km. choose one point on the graph in the example and explain what the point represents in the context of the situation.

Explanation:

Step1: Identify the point

Let's choose the point \((1, 3)\) from the graph.

Step2: Interpret the x - value

The x - axis represents time in hours. So the x - value of 1 means the time elapsed is 1 hour.

Step3: Interpret the y - value

The y - axis represents the distance the lava travels (in km, based on the context "the distance the lava travels increases by 3 km with each additional hour"). The y - value of 3 means that after 1 hour, the lava has traveled 3 kilometers.

Answer:

For the point \((1, 3)\): The \(x\) - coordinate (1) represents 1 hour of time elapsed, and the \(y\) - coordinate (3) represents the distance the lava has traveled (3 kilometers) after 1 hour. (We could also choose \((0,0)\): The \(x\) - coordinate (0) represents 0 hours (the start time), and the \(y\) - coordinate (0) represents that the lava has traveled 0 kilometers at the start (time = 0 hours).)