Purpose:
The purpose of this assignment is to provide you with a chance to apply your knowledge of course material to more practical exercises.
Project 1 Exercises
1. A boat travels at a constant speed of 3 miles per hour in still water. In a river with an unknown current, it takes the boat twice as long to travel 60 miles upstream (against the current) than it takes for the 60-mile return trip (with the current). What is the speed of the current in the river? Hint: s=v t.
2. A company that manufactures running shoes has a fixed monthly cost of $300000. It costs $30 to produce each pair of shoes.
Write the cost function, C(x), of producing x pairs of shoes.
Write the average cost function, C⎯⎯⎯(x), of producing x pairs of shoes.
Find and interpret C⎯⎯⎯(1000), C⎯⎯⎯(10000), and C⎯⎯⎯(100000).
3. The function f(x)=20(0.975)xis used to model the percentage of surface sunlight, f(x), that reaches a depth of x feet beneath the surface of the ocean. At what depth, to the nearest foot, is 1% of surface sunlight present?
