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State the average rate of change for the situation: Be sure t0 include units_Shannon's electric bill for December (31 days) was 599Shannon spent (Type an integ...

Question

State the average rate of change for the situation: Be sure t0 include units_Shannon's electric bill for December (31 days) was 599Shannon spent (Type an integer Or (electricity for December: Jecimal place as needed )dollars per daydollarsEriter your anawer In Ihe anawror box:

State the average rate of change for the situation: Be sure t0 include units_ Shannon's electric bill for December (31 days) was 599 Shannon spent (Type an integer Or ( electricity for December: Jecimal place as needed ) dollars per day dollars Eriter your anawer In Ihe anawror box:



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Electricity Rates Commonwealth Edison Company's charge for electricity in January 2014 was $8.21 \varphi$ per kilowatt-hour. In addition, each monthly bill contains a customer charge of 15.37 dollars. If last year's bills ranged from a low of 72.84 dollars to a high of 237.04 dollars, over what range did usage vary (in kilowatt-hours)?

So for this example, we're told that a house is heated in the winter months for $230 and we're told that all of the incoming here are all the incoming Electricity is converted into electrical heat, which means there's a coefficient of production of one. So if we want to see how much it would cost to heat it when the coefficient production is 3.4, that's basically saying that we've got more output for the same input. So if we write out, the equation would have 3.4 equal to $230 because we're using the ratio we already know, which is 230 to 1. And then we're gonna do this, divided by coefficient of 3.4, and we'll find that the house could be heated for only $68 in the winter months. And this is because since the coefficient much higher, it means that there could be more energy produced

Okay, This is a question about power in electric circuits. So we're told that there's a heating element which is basically just to resist her and it has a resistance of 5.3 owns and a current with 25 cents is run through it for nine hours a day for the entirety of january, which is 31 days. And we're told that the price, which I'll uh do not with the lower case P. Is $12 or 12 cents her kilowatt hour. So we're supposed to find the total cost uh to run the heating element. So the cost is going to be uh the amount of two hours um times the price particular are so killer, ours is gonna be power times time. Uh powers and lots of course in time in hours. And then we're going to divide by process, which is dollars her p times t which is going to give us units of dollars. All right. So we have the price uh and we can figure out the power and we also need to figure out the time. The time is simple. That's just going to be 31 days times my hours, which is 279 hours. Uh, and power we know is equal to a squared times are and were given both I and our so we can play those in. This gives us three point 3125 kilowatt a lot. So, uh, to find our tool, um, energy use, we're gonna multiply this by this and we're just gonna divide by the price. Uh, so the cost is going to be 100 and $10 and 90 cents. That's true. What it works out to you when we plug in, uh, this for power this for time and put the price and five both price and move on.

In this problem we want and see the rate of change in the cost of a hospital room that it's been absorbed by the hospital over a 10 year period. So let's understand what this question is asking before we can work it out. One of the things were once is it's asking about the cost that is absorbed by the hospital in this column right here, we see that this is the total cost to the hospital. This is the total amount. This is the set. Their column is the amount paste passed on to the patient. What's this amount that is passed on to the patient is taken out of the total cost. We can find what the absorbed amount is. So let's say that this is column A and this is column B. So to fund our why coordinates we need to go. Whatever is in column A. We need to subtract column Bayfront. So, for 1st 1 we're in year 2459 minus 212 would give us 200 and 47 812 minus 307 would give us 500 off. Now I've only done these two because these are the two we're gonna use for coordinates to fund our rate of change. Now, when we say rate of change, we are talking about Slope. So we're going to use our slope formula where the slope is our second y coordinate. Modest. My first y coordinate over my second x coordinate minus my first sticks coordinates. Now, remember, that slope is the change of why over the change of X and in this situation is that changing? Why is the cost that has been absorbed by the hospital divided by the years? So we're going to be used in the coordinates 2000 2 47 and the coordinates 2010 505 to find our slip, our rate of change. So let's begin. So to find it, let's start with our change of why. Which is the change of the cost. So what? From $505 to 247 and our change in years was from 2010 2 2000 The reason why I will make sure use those the first and last was because it said over 18 year period, which would be from 2000 to 2010 so 505 minus 247 is 258. It was 2010. Modest 2000 is tiendas her 10 year period. So it's a 258 over 10 years. And for that to be a per year, we're going to divide 258 the body about Ian, which will give May $25 and 80 cents. Uh, year, that is, the rate of change is $25.80 per year.

In this problem, the coefficient of performance of heat pump is given by the formula C O P. Is equal to uhh by W you actually the amount of it w each cost of energy. So the value of W can be return image uhh by C O P, which is equal to $180 x 3.1, which in solving I get the value of wh 58.06. So this is our final answer. That is the monthly heating bill. This is the monthly heating bill. I'm repeating the concept once again. First, I just write the formula or coefficient of performance of sitcom. After that. I just simplify it and just put all the value in the given data and finally, I get this value as our final answer.


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