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A forest ranger is in a forest 2 miles from a straight road. A car is located c miles down the road. The forest ranger can walk 3 miles per hour in the forest and travel 4 miles per hour along the road. In the picture below, the forest ranger walks in a straight line to a point x unit from the end of the road on the left, and then along the road. Highway The total travel time for the ranger to get to the car is the sum of the travel time in the forest and the travel time on the road. Write the total time T as a function of x, using the letter c for the distance from the end of the road on the left to the car. (x) - Toward what point on the road should the ranger walk in order to minimize the travel time to the car if.. (a) c - 10 miles? (Numerical Answer ONLY) (b) c 1/2 miles? Remember that the point must lie between the left end of the highway and the car. (Numerical Answer ONLY) Think about the case when c is an arbitrary number miles. Toward what point should the ranger walk in this case?

A forest ranger is in a forest 2 miles from a straight road. A car is located c miles down the road. The forest ranger can walk 3 miles per hour in the forest and travel 4 miles per hour along the road. In the picture below, the forest ranger walks in a straight line to a point x unit from the end of the road on the left, and then along the road. Highway The total travel time for the ranger to get to the car is the sum of the travel time in the forest and the travel time on the road. Write the total time T as a function of x, using the letter c for the distance from the end of the road on the left to the car. (x) - Toward what point on the road should the ranger walk in order to minimize the travel time to the car if.. (a) c - 10 miles? (Numerical Answer ONLY) (b) c 1/2 miles? Remember that the point must lie between the left end of the highway and the car. (Numerical Answer ONLY) Think about the case when c is an arbitrary number miles. Toward what point should the ranger walk in this case?

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter44: Solution Of Equations By The Subtraction, Addition, And Division Principles Of Equality
Section: Chapter Questions
Problem 108A: The feed of a drill is the depth of material that the drill penetrates in one revolution. The total...
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A forest ranger is in a forest 2 miles from a straight road. A car is located c miles down the road. The forest ranger can walk 3 miles per hour in the forest and travel 4 miles per hour along the road. In the picture below, the forest ranger walks in a straight line to a point x unit from the end of the road on the left, and then along the road. Highway The total travel time for the ranger to get to the car is the sum of the travel time in the forest and the travel time on the road. Write the total time T as a function of x, using the letter c for the distance from the end of the road on the left to the Car car. Forest T(x) = Forest Ranger Toward what point on the road should the ranger walk in order to minimize the travel time to the car if... (a) c = 10 miles? (Numerical Answer ONLY) (b) c = 1/2 miles? Remember that the point must lie between the left end of the highway and the car. (Numerical Answer ONLY) Think about the case when c is an arbitrary number of miles. Toward what point should the ranger walk in this case?
Transcribed Image Text:A forest ranger is in a forest 2 miles from a straight road. A car is located c miles down the road. The forest ranger can walk 3 miles per hour in the forest and travel 4 miles per hour along the road. In the picture below, the forest ranger walks in a straight line to a point x unit from the end of the road on the left, and then along the road. Highway The total travel time for the ranger to get to the car is the sum of the travel time in the forest and the travel time on the road. Write the total time T as a function of x, using the letter c for the distance from the end of the road on the left to the Car car. Forest T(x) = Forest Ranger Toward what point on the road should the ranger walk in order to minimize the travel time to the car if... (a) c = 10 miles? (Numerical Answer ONLY) (b) c = 1/2 miles? Remember that the point must lie between the left end of the highway and the car. (Numerical Answer ONLY) Think about the case when c is an arbitrary number of miles. Toward what point should the ranger walk in this case?
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