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Average and Instantaneous Rates of Change

Instructions:

Choose an answer and hit 'next'. You will receive your score and answers at the end.

question 1 of 3

Ann walked 50 m in 25 seconds. What was her average speed (in m/s)?

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1. Jamar was driving to the store when he got stopped by a train. When he finally got to the store, he calculated that his average speed for the entire trip was 15 miles per hour. What was his instantaneous speed while he was waiting on the train to pass?

2. Looking at a graph, how can you tell if instantaneous rate of change and average rate of change are the same?

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About This Quiz & Worksheet

Gauge how much you know about rates of change with this easily accessible quiz and worksheet combo. You must be able to solve problems using your knowledge of this concept in order to do well on this short quiz.

Quiz & Worksheet Goals

With this quiz, you will measure your ability to:

  • Solve sample average and instantaneous speed problems
  • Understand how to tell if instantaneous and average rates of change are the same on a graph
  • Note which type of rate of change measures change at one particular instant in time
  • Use a particular function to determine the speed of a car after a given amount of time

Skills Practiced

  • Reading comprehension - ensure that you draw the most important information from the lesson, such as the type of rate of change that measures change at one instant in time
  • Problem solving - use acquired knowledge to solve rates of change practice problems
  • Knowledge application - use your knowledge to compare instantaneous and average rates of change on a graph and use a function to determine speed

Additional Learning

You can review more detailed information by referring to the lesson titled Average and Instantaneous Rates of Change. By studying this lesson, you will learn:

  • What things can be measured using rate of change calculations
  • The slope of a type of line on a graph that gives you instantaneous rate of change
  • What the slope of a line tangent to a graph is called
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