need done by 2 today 7/2/18

Variation, Inequalities and Graphing

If a customer has a lawn that is watered regularly, the amount of a customer’s water bill can be modeled using the following combined variation equation.

equation

In the equation, W is the amount of the water bill, T is the average daily temperature for the month, A is the area of the lawn, N is the number of people living in the home, and R is the average monthly rainfall in inches. Using what we know about variation, we see that W varies directly as T, A, √N and inversely as R, and 0.0026 is k, the constant of variation.

Post 1

Calculate your water bill under the following conditions.

  • To determine T, choose a month and do an internet search for the average daily temperature in your area.
  • Choose a lawn area, A, between 200 ft2 and 5000 ft2.
  • For N, use the number of people living in your home.
  • Using the same month you used to find T, find R by doing an internet search for the average monthly rainfall (in inches) in your area.

Show the original equation and all steps used to solve it. Since this is a money amount, remember to give your answer in dollars and cents. Review an example of a response for this Discussion.

Post 2

Choose one of your classmate’s posts that has not been responded to and do the following.

  • Check your classmate’s solution. If there is an error, tactfully explain the error, but do not post a correction. Instead, allow your classmate to post the correction.
  • Choose one of the variables, T, A, N or R, and increase it. How is W affected? Did you expect that? Why or why not?
  • Change the same variable, but this time, decrease it. How is W affected? Did you expect that? Why or why not?

Show the adjusted equation and all steps used to solve it. Since this a money amount, remember to give your answer in dollars and cents. Review an example of a response for this Discussion.



CLASS MATE POST

T=83 Degreees

A= 200 sq.ft.

N= 4 (people living in home)

R= 4.4 inches of rainfall

Monthly water bill = $ 19.61




Post 3

Find and comment on at least one other classmate’s post. Make sure your comments are substantive and advance the discussion. Possibilities for comment include:

  • Tactfully identify an error.
  • Answer a classmates’ question.
  • A classmate’s water bill suddenly skyrocketed! Share any appropriate and interesting scenario that might explain the sudden jump. Humor and creativity are encouraged.

CLASSMATE POST:

T= 90

A= 600

N= 3

R= 4

W=0.0026(90)(600)3Sq÷ 4

W= 0.0026(540000) 3Sq÷4

W=935307.4 ÷ 4

W=243.18 ÷ 4

W= 60.80