According to the graph, what year did the company start producing five times as much as when it started?
a. 1960
b. 1965
c. 1970
d. 1975
Solution: 1970
The above is a line-graph problem. In order to solve it, we must recognize the elements that make up the graph.
The horizontal axis on the graph is labeled “Years”. This represents each year that the company has been in business. Five labeled years are shown starting with 1950 and ending with 1990. Notice that there are four equal vertical divisions between each year label (four equal division between 1950 to 1960 and so forth), therefore, each division represents 2 years. This means that the first vertical label on the right of 1950 will represent 1952, the second will be 1954, the fourth will be 1958 and the last is the 1960 shown on the graph. The same applies to the other years on this horizontal axis.
The vertical axis on the graph is labeled “Number of bottles in thousands”. This means the number of plastic bottles produced by the company as it grew and prospered. Five labeled segments are shown starting at 0 bottles and ending at 40,000 bottles. Notice, again, that there are four equal horizontal divisions between each segment (four equal divisions between 0 to 10,000 and so forth); therefore, each division represents 2500 plastic bottles. This means that the first horizontal line above the 0 mark will represent 2500; the next one up will be 5000 and so forth. The same applies to the other labels on this axis.
a. 1960
b. 1965
c. 1970
d. 1975
Solution: 1970
The above is a line-graph problem. In order to solve it, we must recognize the elements that make up the graph.
The horizontal axis on the graph is labeled “Years”. This represents each year that the company has been in business. Five labeled years are shown starting with 1950 and ending with 1990. Notice that there are four equal vertical divisions between each year label (four equal division between 1950 to 1960 and so forth), therefore, each division represents 2 years. This means that the first vertical label on the right of 1950 will represent 1952, the second will be 1954, the fourth will be 1958 and the last is the 1960 shown on the graph. The same applies to the other years on this horizontal axis.
The vertical axis on the graph is labeled “Number of bottles in thousands”. This means the number of plastic bottles produced by the company as it grew and prospered. Five labeled segments are shown starting at 0 bottles and ending at 40,000 bottles. Notice, again, that there are four equal horizontal divisions between each segment (four equal divisions between 0 to 10,000 and so forth); therefore, each division represents 2500 plastic bottles. This means that the first horizontal line above the 0 mark will represent 2500; the next one up will be 5000 and so forth. The same applies to the other labels on this axis.
The donuts that appear as intersections for the vertical and horizontal axes represents how many bottles are produced in what year.
The first donut represents 2500 bottles produced in 1950 because the donut appears as the intersection of the 2500 horizontal line with the vertical line labeled 1950.
The question is asking what year the company produced five times as much bottles as when it started. The student can calculate five times 2500 as follows:
5 x 2500 = 12500
Therefore, the problem wants us to find at what year the company was producing 12500 bottles.
Examining the graph reveals that 12500 appear on the horizontal line that is one increment above the 10000 mark. (Since each equal division is 2500, that is added to 10000 to come up with 12500). When the student examines the vertical line that this donut appears at, it is noted that the year is 1970.
Therefore in 1970 the manufacturing company produced five times as much plastic bottles as when it first started in 1950
The first donut represents 2500 bottles produced in 1950 because the donut appears as the intersection of the 2500 horizontal line with the vertical line labeled 1950.
The question is asking what year the company produced five times as much bottles as when it started. The student can calculate five times 2500 as follows:
5 x 2500 = 12500
Therefore, the problem wants us to find at what year the company was producing 12500 bottles.
Examining the graph reveals that 12500 appear on the horizontal line that is one increment above the 10000 mark. (Since each equal division is 2500, that is added to 10000 to come up with 12500). When the student examines the vertical line that this donut appears at, it is noted that the year is 1970.
Therefore in 1970 the manufacturing company produced five times as much plastic bottles as when it first started in 1950
©Copyright 2008.Najwa S. Hirn. All rights reserved.
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