College algebra concepts and applications

College Algebra

Individual Project

Solve the following algebraically. Trial and error is not an appropriate method of solution. You must show all your work.

Solve algebraically and check your potential solutions:

x = -4 does not satisfy the equality. So the answer is only x = 5

Show the steps that you would take to solve the following algebraically:

Show your work here:

c) What potential solution did you obtain? Explain why this is not a solution.

This is not a solution because it makes the original equation indefinite. It makes the denominator zero.

The following function computes the cost, C (in millions of dollars), of implementing a city recycling project when x percent of the citizens participate.

a)

Using this model, find the cost if 60% of the citizens participate?

Answer:

million dollars

b)

Using this model, determine the percentage of participation that can be expected if $4 million is spent on this recycling project. Set up an equation and solve algebraically. Round to the nearest whole percent.

Answer: 74%

4)

a)

If

, fill in the following table for x = 0,1,2,3,4. Round to three decimal places where necessary.

x y

0

-2

1

-1

2

-0.586

3

-0.268

4

0

b)

Explain why no negative values are chosen as values to substitute in for x.

Answer: Squareroot is not defined for negative values.

c) Graph in MS Excel or another web-based graphing utility and paste your graph here. Read the information in the assignments list to learn more about how to graph in MS Excel.

Answer:

5) A water tank is h feet high. Water is flowing from this water tank with a velocity V feet per second. The model representing the relationship between the velocity and height is given by V = 6?h