The wire fencing costs $3.25 per linear foot. The privacy fencing costs $5.45 per linear foot. The homeowner wants a total garden area of 600 square feet. a. write a model for the cost of the constructing the fence, in terms of a single input variable. b. calculate the dimensions that will result in minimum cost. c. How much of each type of fencing will be used? Solution w = length of wire fence p = length of privacy fence cost = w*3.25 + p*5.45 w*p = 600 a. cost = w*3.25 + (600/w)*5.45 cost = 3.25*w + 3270/w d(cost)/dw = 3.25 - 3270/w^2 = 0 3.25 = 3270/w^2 w^2 = 1006.15 b. w = 31.72 feet.

1. These are questions to be answered in a paper about the Chernobyl incident for Algebra class
How does radiation affect physical objects?
Why does radiation affect living things?
How are relationships represented mathematically?
How does one best present findings?
Solution
1. Radiation may affect materials and devices in deleterious ways:
Many of the radiation effects on materials are produced by collision cascades and covered by
radiation chemistry.
2. The strength of radiation can be measured in many different ways. The unit we are using in
this report is called a roentgen. Its technical definition involves the ability of radiation to knock
electrons out of air molecules (i.e. to ionzie them), but it can also mutant molecules by ionizing
atoms. It can affect the structure of a cell by debilitating organelles or other cellular functions,
but its most damaging effect is on DNA. Radiation mutates DNA by ionizing base sequences, or
by altering the backbone of DNA. DNA mutations arising from irradiation can cause cancer, or
otherwise kill the cell.
3. In following way relationships represented mathematically
4.As user researchers we have a common goal: to provide a crystal clear picture of our research.
To that end, our presentation must be both believable and digestible for our audience;
stakeholders need to quickly scan whereas developers require specific details in order to take
action. Likewise,the mediumwe use to present our findings is important.
Conventional mediums such as Powerpoint or Word might work great in some situations,
whereas other situations require unconventional ones such as spreadsheets, video, storyboards
and/or sticky notes. To present our findings effectively it’s imperative that we correctly match all
three: the audience, the medium, and message itself.