You are on an island 2 miles from the nearest point P on a straight shoreline, as shown in the figure. Six miles down the shoreline from point P is a restaurant, shown as point R. To reach the restaurant, you first row from the island to point Q, averaging 2 miles per hour. Then you jog the distance from Q to R, averaging 5 miles per hour. Express the time, T, it takes to go from the island to the restaurant as a function of the distance, x, from P, where you land the boat. 2 miles 6 miles R

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter3: Straight Lines And Linear Functions
Section3.3: Modeling Data With Linear Functions
Problem 21E
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You are on an island 2 miles from the nearest point P on
a straight shoreline, as shown in the figure. Six miles down
the shoreline from point P is a restaurant, shown as point
R. To reach the restaurant, you first row from the island
to point Q, averaging 2 miles per hour. Then you jog the
distance from Q to R, averaging 5 miles per hour. Express the
time, T, it takes to go from the island to the restaurant as a
function of the distance, x, from P, where you land the boat.
2 miles
6 miles
R
Transcribed Image Text:You are on an island 2 miles from the nearest point P on a straight shoreline, as shown in the figure. Six miles down the shoreline from point P is a restaurant, shown as point R. To reach the restaurant, you first row from the island to point Q, averaging 2 miles per hour. Then you jog the distance from Q to R, averaging 5 miles per hour. Express the time, T, it takes to go from the island to the restaurant as a function of the distance, x, from P, where you land the boat. 2 miles 6 miles R
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