Difference between revisions of "1994 AJHSME Problems/Problem 18"
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==Solution== | ==Solution== | ||
− | When Mike is shopping at the mall, his distance doesn't change, so there should be a flat plateau shape on the graph. This rules out <math>C,D,E</math>. The portion of graph <math>A</math> in which the distance is changing is linear, inconsistent with how he changes speed from the city and the highway. The best representation of his travels is graph <math>\boxed{\text{(B)} | + | When Mike is shopping at the mall, his distance doesn't change, so there should be a flat plateau shape on the graph. This rules out <math>C,D,E</math>. The portion of graph <math>A</math> in which the distance is changing is linear, inconsistent with how he changes speed from the city and the highway. The best representation of his travels is graph <math>\boxed{\text{(B)}}</math>. |
==See Also== | ==See Also== | ||
{{AJHSME box|year=1994|num-b=17|num-a=19}} | {{AJHSME box|year=1994|num-b=17|num-a=19}} | ||
{{MAA Notice}} | {{MAA Notice}} |
Latest revision as of 13:30, 30 October 2016
Problem
Mike leaves home and drives slowly east through city traffic. When he reaches the highway he drives east more rapidly until he reaches the shopping mall where he stops. He shops at the mall for an hour. Mike returns home by the same route as he came, driving west rapidly along the highway and then slowly through city traffic. Each graph shows the distance from home on the vertical axis versus the time elapsed since leaving home on the horizontal axis. Which graph is the best representation of Mike's trip?
Solution
When Mike is shopping at the mall, his distance doesn't change, so there should be a flat plateau shape on the graph. This rules out . The portion of graph in which the distance is changing is linear, inconsistent with how he changes speed from the city and the highway. The best representation of his travels is graph .
See Also
1994 AJHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 17 |
Followed by Problem 19 | |
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 |
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