The time that it takes you to drive a certain distance varies inversely as your driving rate. Averaging 40 miles per hour, it takes you 10 hours to drive the distance. How long would the trip take averaging 50 miles per hour? 1. Time, t, varies k inversely as rate, r. t = 2. It takes 10 hours at 40 miles per hour. k 10 40 k = 10(40) = 400 400 3. t= 4. How long at 50 miles per hour? Substitute 50 for r. 400 t = = 8 50 It takes 8 hours at 50 miles per hour.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.8: Rate-time-distance Problems
Problem 15P
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The time that it takes you to drive a certain distance varies
inversely as your driving rate. Averaging 40 miles per hour, it
takes you 10 hours to drive the distance. How long would the
trip take averaging 50 miles per hour?
1.
Time, t, varies
k
inversely as rate, r.
t =
2. It takes 10 hours at 40 miles per hour.
k
10
40
k = 10(40) = 400
400
3. t=
4. How long at 50 miles per hour? Substitute 50 for r.
400
t =
= 8
50
It takes 8 hours at 50 miles per hour.
Transcribed Image Text:The time that it takes you to drive a certain distance varies inversely as your driving rate. Averaging 40 miles per hour, it takes you 10 hours to drive the distance. How long would the trip take averaging 50 miles per hour? 1. Time, t, varies k inversely as rate, r. t = 2. It takes 10 hours at 40 miles per hour. k 10 40 k = 10(40) = 400 400 3. t= 4. How long at 50 miles per hour? Substitute 50 for r. 400 t = = 8 50 It takes 8 hours at 50 miles per hour.
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