Question

The table shows your height on a water slide at various time intervals

Answer 1

1. The average rate of change in a riders height between 1 and 3 seconds -30 ft/s

2. The average rate of change in a riders height between 0 and 5 seconds -24 ft/s

3. Another word for rate of change in this situation is speed

What is speed?

Speed is defined as the rate of change of the distance travelled with time. Mathematically, it can be expressed as:

Speed = distance / time

With the above idea, we can obtain the answers to the question given above.

1. How to determine the rate of change between 1 and 3 seconds

• Change in height = 30 - 90 = -60 ft
• Change in time = 3 - 1 = 2 s
• Rate of change =?

Rate = Change in height / change in time

Rate = -60 / 2

Rate = -30 ft/s

2. How to determine the rate of change between 0 and 5 seconds

• Change in height = 0 - 120 = -120 ft
• Change in time = 5 - 0 = 5 s
• Rate of change =?

Rate = Change in height / change in time

Rate = -120 / 5

Rate = -24 ft/s

3. what is another word for rate of change?

From the definition of speed given above, we can say that: another word for rate of change is speed

Learn more about speed:

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