Practice Applications Of Rates Of Change (1.7) - Rates of Change - IB 10 Mathematics

Practise this section

9 questions

Flashcard drill
3 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
Define average rate of change.
Show hintHide hint
It involves two points on a graph.
Question 2.
Provide the formula for instantaneous rate of change.
Show hintHide hint
Think of limits as h approaches zero.
3Question 3.
What is the average rate of change of a function?
- The slope of a tangent line
- The slope of a secant line
- A constant change
Show hintHide hint
Think about two points on a graph.
4Question 4.
True or False: Instantaneous rate of change is the same as average rate of change.
- True
- False
Show hintHide hint
One is about a point, the other around a stretch.
Question 5.
A drone flies high above a city, ascending in height, governed by the equation h(t) = 2t^2 + 3t. Determine the average rate of change in height from t=1 to t=4 seconds.
Show hintHide hint
Use the height function to find endpoint values.
Question 6.
A car’s distance over time is modeled as d(t) = 10t^2. At t=3, find the instantaneous rate of change of distance.
Show hintHide hint
Differentiate the distance function first.

5 more questions in this section. Enroll free to practise them all.