Graphics Interpretation - Bar and Line Graphs
The graph shows income and expenses of a certain company in each month of 2010.
From each drop-down menu, select the option that creates the most accurate statement based on the information provided.
The difference between income and expenses decreased by [[dropdown1]] from November to December.
From September to October, the percent change in income was approximately [[dropdown2]] %.
That's right!
First use the line graph to estimate the company's income in September and October.
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September: about 21
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October: about 25.5
Then use the following formula to calculate the percent change.
$$\displaystyle\mbox{Percent change} = \frac{\mbox{Difference}}{\mbox{Original}} \cdot 100$$
Subtract the two incomes to find the difference.
Subtract the two incomes to find the difference. $$25.5 - 21 = 4.5$$ In this formula, the difference is 4.5 and the original is 21. $$\displaystyle\mbox{Percent change} = \frac{4.5}{21} \cdot 100 \approx 21\%$$Incorrect.
You might have gotten this value if you found the difference between income and expenses for November only. You should Ballpark the difference between income and expenses for both November and December and then subtract them.
Incorrect.
You might have gotten this value if you found the difference between income and expenses for the month of December only. You need to Ballpark the difference between income and expenses for both November and December and then subtract them.
That's right!
First you need to Ballpark the difference between income and expenses for November and December:
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In November, income was approximately 26 and expenses were about 19. Thus, the difference was about $$26-19=7$$.
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In December, income was about 25 and expenses were 20, so the difference was about $$25-20=5$$.
Finally, subtract the two differences to find the answer.
$$7-5=2$$
The closest value is 1.5, so that is the answer.
Incorrect.
You might have gotten this answer if you found the percent change of expenses from September to October. But notice that the problem asks for the percent change in income.
Use the line graph to estimate the company's income in September and October and then use the following formula to calculate the percent change.
$$\displaystyle\mbox{Percent change} = \frac{\mbox{Difference}}{\mbox{Original}} \cdot 100$$
Incorrect.
You might have gotten this answer if you divided the income for October by the income for September. You should use the following formula instead.
$$\displaystyle\mbox{Percent change} = \frac{\mbox{Difference}}{\mbox{Original}} \cdot 100$$
