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MATH133 Unit 2 Individual Project...

MATH133 Unit 2 Individual Project A

Typing hint: Type x2 as x^2 (shift 6 on the keyboard will give ^)

1) Solve the following quadratic equation by factoring:

a) 6 27 0 2 x x

Answers:

Show your work here:

b) Solve the quadratic equation 3x2 + 2x – 16 = 0 using the quadratic formula.

Read the information in the assignment list to learn more about how to type math

symbols, such as the square root.

Answers:

Show your work here:

2) Use the graph of y = x2 + 4x - 5 to answer the following:

a) Without solving the equation or factoring, determine the solution(s) to the

equation, 4 5 0 2 x x , using only the graph.

Answer:

Explain how you obtained your answer(s) by looking at the graph in a brief sentence:

b) Does this function have a maximum or a minimum?

Answer:

Explain how you obtained your answer by looking at the graph in a brief sentence::

c) What are the coordinates of the vertex in (x, y) form?

Answer:

d) What is the equation of the line of symmetry for this parabola?

Answer:

3) The profit function for Wannamaker Trophies is P(x) = -0.4x2 + fx - m, where f

represents the design fee for a customer’s awards and m represents the monthly office

rent. Also, P represents the monthly profit in dollars of the small business where x is

the number of awards designed in that month.

a) If $80 is charged for a design fee, and the monthly studio rent is $1,600; write an

equation for the profit, P, in terms of x.

Typing hint: Type x-squared as x^2

Answer:

b) How much is the profit when 50 award designs are sold in a month?

Answer:

Show your work here:

c) How many award designs must be sold in order to maximize the profit? Show

your work algebraically. Trial and error is not an appropriate method of solution –

use methods taught in class.

Answer:

Show your work here:

d) What is the maximum profit?

Answer:

Show your work here:

4) Graph the equation on the graph by completing the table and plotting the points.

You may use Excel or another web-based graphing utility.

a) y = x2 – 6x

Use the values of x provided in the table to find the y values.

x y

0

1

2

3

4

5

6

b) Place your graph here.

Typing hint: Type x2 as x^2 (shift 6 on the keyboard will give ^)

1) Solve the following quadratic equation by factoring:

a) 6 27 0 2 x x

Answers:

Show your work here:

b) Solve the quadratic equation 3x2 + 2x – 16 = 0 using the quadratic formula.

Read the information in the assignment list to learn more about how to type math

symbols, such as the square root.

Answers:

Show your work here:

2) Use the graph of y = x2 + 4x - 5 to answer the following:

a) Without solving the equation or factoring, determine the solution(s) to the

equation, 4 5 0 2 x x , using only the graph.

Answer:

Explain how you obtained your answer(s) by looking at the graph in a brief sentence:

b) Does this function have a maximum or a minimum?

Answer:

Explain how you obtained your answer by looking at the graph in a brief sentence::

c) What are the coordinates of the vertex in (x, y) form?

Answer:

d) What is the equation of the line of symmetry for this parabola?

Answer:

3) The profit function for Wannamaker Trophies is P(x) = -0.4x2 + fx - m, where f

represents the design fee for a customer’s awards and m represents the monthly office

rent. Also, P represents the monthly profit in dollars of the small business where x is

the number of awards designed in that month.

a) If $80 is charged for a design fee, and the monthly studio rent is $1,600; write an

equation for the profit, P, in terms of x.

Typing hint: Type x-squared as x^2

Answer:

b) How much is the profit when 50 award designs are sold in a month?

Answer:

Show your work here:

c) How many award designs must be sold in order to maximize the profit? Show

your work algebraically. Trial and error is not an appropriate method of solution –

use methods taught in class.

Answer:

Show your work here:

d) What is the maximum profit?

Answer:

Show your work here:

4) Graph the equation on the graph by completing the table and plotting the points.

You may use Excel or another web-based graphing utility.

a) y = x2 – 6x

Use the values of x provided in the table to find the y values.

x y

0

1

2

3

4

5

6

b) Place your graph here.

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