# Distance traveled between Chicago and St. Louis

It is approximately 300 miles from Chicago, Illinois, to St. Louis, Missouri. allowing for various traffic conditions, a driver can average approximately 60 miles per hour.

a) How far have you traveled after 3 hours?

b) How far have you traveled after 4 hours?

c) How far have you traveled after 1 hour? ie. write a linear function that expresss the distance traveled, d, as a function of t.

d) How far will you have left to travel to reach St. Louis after you have traveled 3 hours?

e) How far will you have left to travel to reach St. Louis after you have traveled 4 hours?

f) How fare will you have to travel to reach St. Louis after you have traveled t hours? ie write a linear function that expresses the distance tro be traveled to reach St. Louis s as a funtion of time.

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#### Solution Preview

It is approximately 300 miles from Chicago, Illinois, to St. Louis, Missouri. allowing for various traffic conditions, a driver can average approximately 60 miles per hour.

The distance traveled is equal to speed * time.

a) How far have you traveled after 3 hours?

Answer: 180 miles

Show work:

Time t = 3 hours.

Speed v = 60 mph.

So the distance traveled is d = vt = 60 * 3 = 180 ...

#### Solution Summary

The solution shows how to calculate the distance traveled.