Difference between revisions of "1989 AJHSME Problems/Problem 19"
5849206328x (talk | contribs) (New page: ==Problem== The graph below shows the total accumulated dollars (in millions) spent by the Surf City government during <math>1988</math>. For example, about <math>.5</math> million had b...) |
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The graph below shows the total accumulated dollars (in millions) spent by the Surf City government during <math>1988</math>. For example, about <math>.5</math> million had been spent by the beginning of February and approximately <math>2</math> million by the end of April. Approximately how many millions of dollars were spent during the summer months of June, July, and August? | The graph below shows the total accumulated dollars (in millions) spent by the Surf City government during <math>1988</math>. For example, about <math>.5</math> million had been spent by the beginning of February and approximately <math>2</math> million by the end of April. Approximately how many millions of dollars were spent during the summer months of June, July, and August? | ||
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<asy> | <asy> | ||
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label("dollars in millions",(0,11.9),N); | label("dollars in millions",(0,11.9),N); | ||
</asy> | </asy> | ||
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| + | <math>\text{(A)}\ 1.5 \qquad \text{(B)}\ 2.5 \qquad \text{(C)}\ 3.5 \qquad \text{(D)}\ 4.5 \qquad \text{(E)}\ 5.5</math> | ||
==Solution== | ==Solution== | ||
Latest revision as of 02:28, 28 November 2019
Problem
The graph below shows the total accumulated dollars (in millions) spent by the Surf City government during 
. For example, about 
million had been spent by the beginning of February and approximately 
million by the end of April. Approximately how many millions of dollars were spent during the summer months of June, July, and August?
![[asy] unitsize(18); for (int a=1; a<13; ++a) { draw((a,0)--(a,.5)); } for (int b=1; b<6; ++b) { draw((-.5,2b)--(0,2b)); } draw((0,0)--(0,12)); draw((0,0)--(14,0)); draw((0,0)--(1,.9)--(2,1.9)--(3,2.6)--(4,4.3)--(5,4.5)--(6,5.7)--(7,8.2)--(8,9.4)--(9,9.8)--(10,10.1)--(11,10.2)--(12,10.5)); label("J",(.5,0),S); label("F",(1.5,0),S); label("M",(2.5,0),S); label("A",(3.5,0),S); label("M",(4.5,0),S); label("J",(5.5,0),S); label("J",(6.5,0),S); label("A",(7.5,0),S); label("S",(8.5,0),S); label("O",(9.5,0),S); label("N",(10.5,0),S); label("D",(11.5,0),S); label("month F=February",(16,0),S); label("$1$",(-.6,2),W); label("$2$",(-.6,4),W); label("$3$",(-.6,6),W); label("$4$",(-.6,8),W); label("$5$",(-.6,10),W); label("dollars in millions",(0,11.9),N); [/asy]](http://latex.artofproblemsolving.com/f/9/c/f9cddde1c49e870e60dd9a1051526987030e4fb6.png)
Solution
Since we want to know how much money is spent in June, July and August, we need the difference between the amount of money spent by the beginning of June and the amount of money spent by the end of August.
We estimate these to be about 
million and 
million, respectively. The difference is
![\[4.8-2.2=2.6\approx 2.5 \rightarrow \boxed{\text{B}}\]](http://latex.artofproblemsolving.com/7/7/b/77bd93d3dce520dcc09b4c6865536b38cea41f9d.png)
See Also
| 1989 AJHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 18 |
Followed by Problem 20 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AJHSME/AMC 8 Problems and Solutions | ||
