Rate of Change Problem #1:
Find the rate of change for each table below. Explain what the rate of change means for each situation.
For the rate of change problem #1, we can use the slope or rate of change formula.
Let’s use the two coordinates first: (4,232) and (6,348). We would have to plug these coordinates to the slope formula.
Let’s use another pair of coordinates to confirm if the slope is constant. Let’s use (8,464) and (10,580) in the slope formula again.
If we use the same formula for the pairs (6, 348) and (8, 464), the slope would be the same.
Comparing the slopes or rate of change, we could deduce that the rate of change is constant at 58 miles per hour.