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1. You are flying from Houston to Chicago. You leave Houston at 7: 30 a.m. At 8:35 a.m. you fly over Little Rock, a distnace of 455 miles.

*Write a linear equation that gives the distance in miles, y, in terms of time, x. Let x represent the number of minutes since 7:30 a.m.

*Approximately what time will you arrive in Chicago if it is 950 miles from Houston?




2.You are driving from Grand Rapids, Michigan, to Detroit, Michigan. You leave Grand Rapids at 4:00 p.m. At 5:10 p.m. you pass through Lansing, Michigan, a distnace of 65 miles.

*Write a linear equation that gives the distance in miles,d, in terms of time, t. Let t represent the number of minutes since 4:00 p..m.

*Approximately what time will you arrive in Detroit if it is 150 miles from Grand Rapids?

2007-03-19 12:33:53 · 2 answers · asked by n4ncy_c40 1 in Science & Mathematics Geography

2 answers

You'd have gotten answers if you'd have posted in math, not geography. Anyway, here goes:

1. Houston to Little Rock is 455 miles in 65 minutes, so the plane's speed is 455/65 = 7 miles/minute.

The linear equation is y = 7x.

For Chicago, 950 = 7x, so x = 950/7 = 136 minutes = 2 hours, 16 minutes. Estimated arrival in Chicago at 9:45 a.m.


2. Grand Rapids to Lansing is 65 miles in 70 minutes, and speed is 65/70 = 13/14 miles per minute.

Linear equation is y = (13/14)t.

For Detroit, 150 = (13/14)t, so t = 150(14/13) = 161.5 minutes, or 2 hours, 41.5 minutes. Estimated arrival in Detroit at 6:40 p.m.

This might be off, though, depending on the traffic in Detroit. You'll be driving there during the evening rush hour.

2007-03-21 05:28:22 · answer #1 · answered by bpiguy 7 · 0 0

i m confused .:

2007-03-23 03:55:28 · answer #2 · answered by Hope Summer 6 · 0 0

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