Questions: Find the constant rate of change for the graph.

Solution Steps

From the graph, we can identify two points:

• Point 1: (5, 60)
• Point 2: (15, 150)

The change in distance (Δy) is the difference in the y-coordinates of the two points: \[ \Delta y = 150 - 60 = 90 \text{ miles} \]

The change in time (Δx) is the difference in the x-coordinates of the two points: \[ \Delta x = 15 - 5 = 10 \text{ hours} \]

The constant rate of change (slope) is given by the formula: \[ \text{Rate of change} = \frac{\Delta y}{\Delta x} = \frac{90 \text{ miles}}{10 \text{ hours}} = 9 \text{ miles per hour} \]

Final Answer