Modeling #1 (This is part of the Homework) An airplane trip from Chicago to Philadelphia reported a flight time of 1 hour, 48 minutes covering 678 miles. The return trip required 2 hours 16 minutes. A major factor accounting for the difference in time is the direction of the wind. A similar phenomenon is also evident to swimmers and boaters in a flowing river. Suppose your swimming speed in still water is v. The Beaver Creek River flows at approximately 1.5 meters per second. What is your velocity swimming downstream with the flow of the river? What is your velocity on the way back swimming against the flow? Write a rule for predicting the total time t required to swim 100 meters down river and back. (Remember, d-rt. Solve that for t.) a. Write a rational function rule for the total time required to travel a distance d downstream and back-in a river flowing at a rate v, b. c.. Examine your function rule. What does it indicate if your velocity Is equal to the speed of the river? Explain what this means in terms of your trip. What happens if your velocity is less than the speed of the river? What is the total travel time if your velocity is 0? Explain why this value does not make sense and what is wrong.
Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
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