1. This graph shows the height of a football above the ground from the time the ball was snapped for a field goal attempt. Notice that there are no breaks in the curve because it is possible to have a fractional units of both time and height.

Over which time period did these events occur? (a) the holder received the snap (b) the ball was increasing in height  (c) the ball was kicked (d) the ball landed in the stands behind the goal posts

2. This graph shows one team's score during the course of a football game. Notice that there are breaks in this curve because the team's score only took on values of 0, 3, 9, and 10.

Give the letter that corresponds to the time these events occurred (a) the team scored a touchdown (worth 6 points) (b) the team kicked the extra point (c) the team kicked a field goal (worth 3 points) (d) the team scored its first points

3. Complete the following graph to show the price a fan would have to pay to purchase tickets for a football game.

Each ticket costs $10.00. The dots on the graph should not be connected because it is impossible to buy a fractional number of tickets or to pay a fractional number of tickets or to pay a fractional value for those tickets.

Circle the graph that best represents the information given.

4. A call to London, England costs $1.78 for the first minute and $1.00 for each additional minute. Fractions of a minute are charged as an entire minute.

5. The length of a banana changes from the time you begin to eat it.

6. The fare charged to rail commuters changes as the distance between the suburban stations and the city terminal increase.

7. The path traced by a point W on the circle as the circle rolls along the line.

8. A women's shoe size depends on the length of her foot in inches.

9. A speeding car hits a tree.

10. The number of hours of light depends on the time of year.

11. A company charges $9.95 for a single custom-printed T-shirt.

If you order 8 or more but less than 15, they charge $8.25 each.
If you order 15 or more, they charge $6.50 each

 

Sketch a graph representing each situation. Use a scale only when you think it is necessary.

12. The shade of a maple tree changes from the time it was planted as a sapling.

13. The height of a person changes with the age of a person

14. The loudness of a tape changes as the distance from your ear to a stereo speaker increases.

15. The path traced by W, in problem 7, is changed if W is moved to the center of the circle.

16. The amount of money in your bank account if you make no withdrawals and interest is compound daily.

17. The speed of a skier changes as she goes up the mountain on a lift, waits her turn, and then skies down the mountain./p>

18. Your score on a test changes as the time you study for it increases.

19. Your level of energy on a Friday changes from the time you get up to the time you go to bed.

20. The amount of gas in your gas tank during the following sequence: the tank is filled; the car is driven at 55 mph for 3 hours; it is parked for 3 hour; the car is driven at 20 mph for 2 hours; the tank is refilled.