Proportions and Electricity Question 1: Proportions are also a valuable tool in
ID: 3124593 • Letter: P
Question
Proportions and Electricity
Question 1:
Proportions are also a valuable tool in business. If the time it takes to do a task is directly related to the cost the business has to charge for that task, any task can be evaluated for the cost. Set up a proportion and solve it to demonstrate this type of business application. (An example might be 5 hours / $20 = 10 hours / x). Remember that setting the cross products (multiplications) equal, and then solving for x is the way to solve a proportion.
Question 2:
Equations are used to demonstrate many different things. In the equation C = 0.17x, C stands for cost and x stands for the number of kilowatt hours of electricity a business might use in a month. Determine the cost of electricity for 1,000, 1,500, and 3,000 kilowatt hours of usage. Also, show how C / .17 = x is can be used to determine how many kilowatt hours have been used if you know cost and rate per kilowatt hour ($0.17). Find an electric bill for your home or apartment and determine the cost per kilowatt hour, or research your power provider for this information.
Explanation / Answer
Q1. Example of a proportion related to Electricity
Suppose that using an electric bulb for 5 hours costs $20 . To find how much will it cost if the bulb is used for 10 hours, we need proportions.
So, 5:20 :: 10:x
Thus, 5x = 20*10 =200
x= 200/5 = $40
Q2. C stands for cost
x stands for the number of kilowatt hours of electricity a business might use in a month
C = 0.17x
When x=1,000 C=0.17*1,000 = $170
When x=1,500 C=0.17*1,500 = $255
When x=3,000 C=0.17*3,000 = $510
Similarly, the equation C / .17 = x can be used to determine how many kilowatt hours have been used if we know cost and rate per kilowatt hour ($0.17)
Let's say the cost is $170, then number ofkilowatt hours used = 170/0.17 = 1,000
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