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.
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