Practice
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? |
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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 |
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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. |  |
Directions: 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.
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5. The length of a banana changes from the time you begin to eat it.
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6. The fare charged to rail commuters changes as the distance between the suburban stations and the city terminal increase.
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7. The path traced by a point W on the circle as the circle rolls along the line.
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8. A women's shoe size depends on the length of her foot in inches.
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9. A speeding car hits a tree.
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10. The number of hours of light depends on the time of year.
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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
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Directions: Draw 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