I 'm going to fill my garden with yellow floribunda roses. These flowers will be perfect for my garden because yellow is one of the colors that represents Coventry. Also, the rose flower is the flower of June. This will represent Coventry well because Captain Nathan Hale's birthday is in June, and since the flower of June is roses, I will fill the garden with yellow floribunda roses. Roses are the best flower for my garden because roses are not a high-maintenance flower and they are perennial flowers, so they will grow back every year. Also, roses can be planted in almost any zone (mostly zones 6-9), which means they can be planted in Coventry, zone 6a. I will buy the yellow floribunda roses at parkseed.com.

1- Filling Material

I will fill the garden with mulch. This mulch will be rubber, so no weekly maintenance is required. Also, this mulch will be in the color green, one of the colors that represents Coventry. I will get the green rubber mulch shipped to the work site from the Home Depot in Manchester Connecticut. Lastly, I believe this is the best material for this garden because the mulch doesn't attract insects of any kind, the mulch prevents weeds, and the mulch saves money by not needing weekly care.

4- Cost of Plants

My plants will cost $19.00 per yellow rose bush, with a $7 delivery charge. Each rose bush is about 2/3 of a yard, so I will be buying 24 rose bushes to fit my sketch. So overall, I will be buying $456.00 worth of yellow rose bushes (22 yards of rose bushes), with the additional $7 delivery charge. This altogether equals $463.00.

6-Function for Total Cost

5- Continued

This garden will represent Coventry well for many reasons. First, the triangle shape of the garden represents the shape of Captain Nathan Hale's hat. Second, the shape the rose bushes are in the shape of our town, Coventry. Third, the roses are the flower of June, and Captain Nathan Hale's birthday is in June, so the roses are to represent Captain Nathan Hale, our hero. Lastly, the color of the mulch and the flowers together are the colors of our wonderful town, Coventry.

8- Thickness

I 'm going to lay the material two inches thick to cover the garden. I decided on this thickness by doing some research and the website I found said it is best to lay mulch two inches thick.

**Linear Functions**

5- Visual Representation

10 yards

7- Slope and y-intercept

The slope of the function for the material represents the cost of material per cubic yard, or the rate per cubic yard. The y-intercept of the function for the material represents the delivery charge for the material no matter how much material you buy, even though the y-intercept is zero in this case.

2- Cost of Material

The cost of the green rubber mulch is $271.26 per cubic yard. There is no delivery charge for the shipping of the green rubber mulch.

**By: Gabi Dumond**

Class A

Mr. Stegman

Class A

Mr. Stegman

Zone Map

Zone Temperatures

googleimages.com

Coventry's Zone

homedepot.com

parkseed.com

The green mulch was in cubic feet, but I had to transfer it to cubic yards. There is 76.9 cubic feet of material being sold for $773.10. I transferred this into cubic yards by dividing the amount of cubic feet, 76.9, by 27 because there are 27 feet in 1 cubic yard. (For example, there are 3 feet in 1 yard, but we're talking about cubic yards, so this means we have to take the 3 feet and put it to the third power (cubed). In result, this gets me 27 feet in 1 cubic yard (3^3= 3*3*3=27)).This got me 2.85, rounded, cubic yards. Then, I took the total price for 76.9 cubic feet, $773.10, and divided it by 2.85 to get the unit price of how much money it costs per cubic yard, $271.26 (rounded).

10 yards

10 yards

4 yards

4 yards

2 yards

3 yards

1 yard

2 yards

4 yards

2 yards

yellow= rose bushes

green= mulch

The thickness of the green mulch will be two inches thick.

Height= 8.66 Yards

I wrote a separate function for the material and the flowers. These are slope-intercept form functions (functions that contain a slope (rate)and a y-intercept (starting value)) because they contain a slope and a y-intercept.

Material:

Y= 271.26x + 0

total cost for the material

cost per cubic yard

variable (how much material you want)

delivery charge (which is free, so we don't need to add the zero)

Flower:

Y= 19x + 7

total cost for the rose bushes

cost per rose bush

variable (how many rose bushes you want)

delivery charge

orange= slope

dark blue= y-intercept

Since I made two functions, I have to add the total cost for the material and the flowers together at the end to get the total cost for the garden.

The slope-intercept form formula is

Y= mx +b

y= total amount

m= slope

b= y-intercept

x= variable

8.66 yards

Area= 43.3 yards squared

dark blue= height

The slope of the function for the flowers represents the cost per rose bush, or the rate per rose bush. The y-intercept of the function for the flowers represents the delivery charge for the flowers no matter how many rose bushes you buy.

www.gardenguides.com

I will need 86.6 cubic yards of material for my garden.

Area= 43.3 yards squared

Since the area covers the ground all over in one layer, I have to multiply it by two because I 'm laying the material two inches thick.

9- Total Cost

The total cost of my garden will be $23,954.12

Material:

Y=271.26x + 0

original function

Y= 271.26 (86.6) + 0

Y= 23,491.12 +0

Y= 23,491.12

Flower:

Y= 19x + 7

original function

Y= 19 (24) + 7

Y= 456 + 7

Y= 463

6 rb

rb= rose bushes

2 rb

0 rb

6 rb

2 rb

2 rb

2 rb

4 rb

463

+ 23,491.12

10- Thickness Cut

11- Form of Function

I used the slope-intercept form function to write my cost function. This form was most useful to me because the information within the function had a rate and a start value (parts of a slope-intercept function). This was also very useful because if I had used the other form, standard form (combination problems), I wouldn't have been able to fit both the slopes and y-intercepts into the one function.

Slope Form

Standard Form

C= ax + by

Y= mx + b

Combination Problems

Rate Problems

12- Converting Functions

$23,954.12

rounded from 23,491.116

I will need 43.3 cubic yards of material if the thickness of the original material is cut in half.

86.6/2= 43.3 cubic yards

original thickness

the cut in half

new amount of material

This does half the price of my garden because the price of the flowers is so little compared to the price of the mulch, and the price of material is almost the whole price.

Y= 271.26 (86.6) + 0

Y= 271.26 (43.3) + 0

original

new (half material)

Y= 11,745.56

rounded from 11,745.558

11,745.56 + 463 =

$

12,208.56

from $23,954.12

Since my original equation is in slope-intercept form, I will transfer it to standard form.

Y= 271.26x + 0

Y= 19x + 7

original equations

slope-intercept form

A standard form equation is also referred to as combination problems because they deal with two different parts.

C= ax + by

standard form

C= 271.26x + (19y + 7)

material cost

flower cost with delivery charge

variables

total cost

The meaning of this equation is to fit both parts, rate of material and flowers, into one equation and to make less work to do.

The End!!!!!!!