GRAPHS

125. A graph is a diagram showing fluctuations, such as variations in temperature, rise and fall of prices, etc.

The temperature chart shows variations in temperature from 6 A.M. to 6 P.M. The hour is indicated by the row

of figures along the top; the temperature is indicated by the vertical column at the left.

Illustrate graphically :

1. The varying price of wheat for the years 1900 to 1911, the prices for the respective years being as follows: 1900, 611; 1901, 631; 1902, 671; 1903, 701; 1904, 811; 1905, 773; 1906, 691; 1907, 71; 1908, 841⁄2¢; 1909, 991; 1910, 891; 1911, 831¢.

2. The production of corn in the United States for the years 1900 to 1910, the figures given indicating millions of bushels 1900, 2105; 1901, 1522; 1902, 2523; 1903, 2244;

1904, 2467; 1905, 2707; 1906, 2927; 1907, 2592; 1908, 2668; 1909, 2772; 1910, 3125.

TO THE PUPIL. On a sheet of graph paper keep a daily record, after your work has been checked in class, of problems solved correctly.

Problems missed should be worked after they have been explained in class. Then, by means of a dotted line, indicate the percentage of problems so corrected. This line should not show much variation.

3. The following graph illustrates a record kept for three weeks:

4. The following illustration shows in a graphical way the percentages of investment on an 80-acre farm:

5. The following is a graphical representation of the profits of Oregon farmers on farms of different size.

6. A farmer who keeps a careful estimate of the cost and returns on all his crops finds that wheat makes him 7% profit, corn 61%, oats 5%, and apples 10%. Illustrate his profits, graphically, as in example 5.

BUS. ARITH.-6

7. Draw a graph similar to the one found in example 4, which will show approximately the following family expendi

Is the balance which is saved, represented on the graph?

8. On a farm of 320 acres the following percentages of investment are made:

9. The following is a graphical representation of the "Mean Monthly Temperatures" for certain towns in Oregon as shown by the Oregon Agricultural College.

1. What towns have the same March temperature?
2. Which town has the coldest January temperature?
3. What is the coldest temperature recorded?

10. Represent in a way similar to that used in example 9 the "Mean Monthly Rainfall" as shown in the following statistics:

Town
A

Town

B

Town

C

Jan. Feb. Mar. Apr. May June July Aug. Sept. Oct.

Nov. Dec.

10 in. 8 in. 7 in. 5 in. 4 in. 2 in. 1⁄2 in. 1⁄2 in. 2 in. 5 in. 8 in. 7 in.

6 in. 5 in. 4 in. 2 in. 2 in. 1 in. in. in. 1 in. 3 in. 6in. 6 in.

1 in. 1 in. 1 in. 1⁄2 in. 1 in. † in. in. in. 1 in. 1 in. in in.

MISCELLANEOUS PROBLEMS

GROUP 1

1. Find the prime factors of 7892, of 5280, and of 754. 2. Find the factors of e+ er, of 6x+6y, and of pr+p. 3. Find the G. C. D. of 126, 140, and 168.

4. A farmer has 4 farms containing respectively 160 A., 240 A., 280 A., and 300 A. If he divides the farms into equal parcels containing the largest number of acres possible, how many acres will there be in each parcel?

5. Find the L. C. M. of 16, 64, 80, 144.

Use cancellation in the following:

6. Divide 78 × 96 × 54 × 160 by 26 × 16 × 56 × 72.

7. Divide 121 × 663 × 100 by 11 × 621 × 16.

8. A man bought a piece of ground 380 rd. long and 140 rd. wide, paying $125 an acre. How much did it cost him?

9. A man buys a plot of ground 100 rd. long, lying between two streets 335 ft. apart. How much does it cost him at $500 an acre?

10. How many cords of wood are there in a pile 70 ft. long, 10 ft. high, and 6 ft. wide?