In this video, we're gonna be covering real numbers and their properties in particular. We're gonna be plugging real numbers into the formula and solving the formula. So we'll take a look at the screen here. I've written down the formula for determining the B. A. C. Which is the alcohol content and the blood. In order to find out the story, you're gonna multiply the total number of ounces that a person has drink times the percentage of alcohol content and each drink Times 0.075, which is going to be a constant, divided by the body weight of the person drinking in pounds minus the total hours that they were drinking times 0.015, which is another constant and formula. So in order to start plugging in numbers, but we're gonna look at the problem and the problem they made for the number of ounces, they may give you the total number of ounces per drink. And to tell you how many drinks someone has. So let's say someone had to Two glasses of wine each top which sits ounces for the wine so much, about two x 6 to get 12. Then they're going to give you the percentage of alcohol content and each drink and you can just plug that percentage straight in. You don't have to change it to a decimal. Just plug it straight into the formula. You're gonna multiply. Bye. The constant. 0.075, divide by the body weight. And they subtract The hours that they were drinking times. 0.015, which is going to be a constant. All right. So now you can just plug this into the calculator, calculate does order of operations for you. But if you do not have a calculator, you have to do a hand by hand. You use the order of operations. Pimp dash, which you see. I have written down here parentheses as opponents modification. Division addition subtraction. So first you do multiplication and division left to right because you have no parentheses or as opponents operations we have parentheses written. But this just represents multiplication. So you would do multiplication and division have to right then we don't have any addition. So then lastly what you would do the subtraction. So if you want to do order of operations, it would look like you. Let's apply all this together, then divide. And this would be 0.084 around it to the thousands place. And then you would do this modification right here. This is going to be 0.030. And this subtraction problem right here is 0.0 5 4 and this is going to be your BSC but now we're going to look at the same problem. And let's say this lady was drinking, it took her four hours to drink two glasses instead of two hours. And how would that how would that affect our B. A C. Level? So we're going to take a look. We're gonna plug in. You still have two glasses. They had six oz of wine on them. The wind still have 14% alcohol concentration. Just the same constant in every formula. Or in every based formula, divided by the same weight minus instead. This time. And this time we're going to have her drinking for four hours and this is going to be the same constant. All right. So it took four hours to drink the same two glasses of wine. How does this affect the B A. C. Level? So I'm gonna break it down just like I did the above problem. Do this order of operations right here. So the same order of operations is going to be 0.084, the same as we have up here because we drink the same amount of alcohol and wear the same amount. But right here we have a change because you drink a little longer. So this is going to be zero zero now And this is going to equal zero 0-4. So as you see, our BAC level is less than our other B A C level because we drank longer, so the longer you drink, you take the drink the same amount of alcohol the last year BSC level would be.