2. The break even values for a profit model are the values for which you earn $0 in profit. Use the equation you created in question one to solve P = 0, and find your break even values.

3. In 2002, Home Depot’s sales amounted to $58,200,000,000. In 2006, its sales were $90,800,000,000.

a. Write Home Depot’s 2002 sales and 2006 sales in scientific notation.

You can find the percent of growth in Home Depot’s sales from 2002 to 2006 by following these steps:

· Find the increase in sales from 2002 to 2006.
· Find what percent that increase is of the 2002 sales.

b. What was the percent growth in Home Depot’s sales from 2002 to 2006? Do all your work by using scientific notation.


4. A customer wants to make a teepee in his backyard for his children. He plans to use lengths of PVC plumbing pipe for the supports on the teepee, and he wants the teepee to be 12 feet across and 8 feet tall (see figure). How long should the pieces of PVC plumbing pipe be?

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To answer the questions:

2. To find the break-even values, we can use the equation P = 0, where P represents the profit. This equation implies that when the profit is zero, the break-even point is reached.

Let's assume the equation you created in question one is:
P = R - C, where R represents the revenue and C represents the cost.

To find the break-even values, we set P = 0:
0 = R - C

By rearranging the equation, we can solve for the variable we are interested in. For example, if we want to find the break-even revenue (R), we can rewrite the equation as:
R = C

Similarly, if we want to find the break-even cost (C), we can rewrite the equation as:
C = R

By solving these equations, we can determine the values for which the profit is zero, which are the break-even values.

3.

a. To express numbers in scientific notation, we need to write them as a product of a number between 1 and 10 and a power of 10.

In scientific notation, we move the decimal point to the right to make the number between 1 and 10. The number of places we move the decimal point determines the power of 10.

For Home Depot's 2002 sales, $58,200,000,000 can be written in scientific notation as:
5.82 x 10^10

Similarly, for Home Depot's 2006 sales, $90,800,000,000 can be written in scientific notation as:
9.08 x 10^10

b. To find the percent growth in sales from 2002 to 2006, we can follow these steps:

1. Find the increase in sales from 2002 to 2006:
Increase = Sales in 2006 - Sales in 2002

Increase = (9.08 x 10^10) - (5.82 x 10^10)

2. Find what percent the increase is of the 2002 sales:
Percent Growth = (Increase / Sales in 2002) * 100%

Percent Growth = (Increase / (5.82 x 10^10)) * 100%

By calculating these values, we can determine the percent growth in Home Depot's sales from 2002 to 2006.

4. To find the length of the PVC plumbing pipe for the teepee, we can use the Pythagorean theorem since we have a right triangle formed by the height and the radius of the teepee.

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the radius of the teepee forms the hypotenuse, and the height of the teepee forms one of the other sides.

Let's assume the length of the PVC plumbing pipe we need to find is 'L'.

Using the Pythagorean theorem:
(L/2)^2 + 8^2 = 12^2

Simplifying the equation, we have:
(L/2)^2 = 144 - 64

(L/2)^2 = 80

Taking the square root of both sides, we find:
L/2 = sqrt(80)

L/2 = 8.94

Multiplying both sides by 2, we get:
L = 17.88

Therefore, the pieces of PVC plumbing pipe should be approximately 17.88 feet long.