Example:
You are at home getting ready to go out to your stamp collecting club. You leave your house and jog the 1000m to the club. You arrive 5 minutes later. You exchange stamps and chat for 1 hour, then leave for home. It takes you 10 minutes. Plot a distance time-graph to represent your journey to and from the club.
Solution:
Drawing graphs of real-life problems
- Choose a suitable scale for each axis
- Decide how many points to plot.
- Draw the graph with suitable accuracy
- Provide a title and label the axis
The journey to and from my stamp collecting club
Exercise
- Identify the graph that matches each of the following stories:
- I had just left home when I realized I had forgotten my books so I went back to pick them up.
- Things went fine until I had a flat tire.
- I started out calmly, but sped up when I realized I was going to be late.
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- The graph at the right represents the typical day of a teenager. Answer these questions:
- What percent of the day is spent watching TV?
- How many hours are spent sleeping?
- What activity takes up the least amount of time?
- What activity takes up a quarter of the day?
- What two activities take up 50% of the day?
- What two activities take up 25% of the day?
Answer these questions about the graph at the right:- How many sets of data are represented?
- On approximately what calendar date does the graph begin?
- In what month does the graph reach its highest point?
- Answer these questions about the graph on the right:
- How many total miles did the car travel?
- What was the average speed of the car for the trip?
- Describe the motion of the car between hours 5 and 12?
- What direction is represented by line CD?
- How many miles were traveled in the first two hours of the trip?
- Which line represents the fastest speed?
-
Exercise
- Identify the graph that matches each of the following stories:
- I had just left home when I realized I had forgotten my books so I went back to pick them up.
- Things went fine until I had a flat tire.
- I started out calmly, but sped up when I realized I was going to be late.
- The graph at the right represents the typical day of a teenager. Answer these questions:
- What percent of the day is spent watching TV?
- How many hours are spent sleeping?
- What activity takes up the least amount of time?
- What activity takes up a quarter of the day?
- What two activities take up 50% of the day?
3. What two activities take up 25% of the day?
Answer these questions about the graph at the right:a. How many sets of data are represented?
b. On approximately what calendar date does the graph begin?
c. In what month does the graph reach its highest point?
4. Answer these questions about the graph on the right:
a. How many total miles did the car travel?
b. What was the average speed of the car for the trip?
c. Describe the motion of the car between hours 5 and 12?
d. What direction is represented by line CD?
e. How many miles were traveled in the first two hours of the trip?
f. Which line represents the fastest speed?
5. Answer these questions about the graph at the right:
a. What is the dependent variable on this graph?
b. Does the price per bushel always increase with demand?
c. What is the demand when the price is 5 per bushel?
6. The bar graph at right represents the declared majors of freshman enrolling at a university. Answer the following questions:
a. What is the total freshman enrollment of the college?
b. What percent of the students are majoring in physics?
c. How many students are majoring in economics?
d. How many more students major in polysci than in psych?
7. This graph represents the number of A’s earned in a particular college algebra class. Answer the following questions:
a. How many A’s were earned during the fall and spring of 1990?
b. How many more A’s were earned in the fall of 1991 than in the spring of 1991?
c. In which year were the most A’s earned?
d. In which semester were the most A’s earned?
e. In which semester and year were the fewest A’s earned?
- Identify the graph that matches each of the following stories:
- The graph at the right represents the typical day of a teenager. Answer these questions:
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