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Harvey Mudd College

Baylor University

University of Michigan - Ann Arbor

07:29

James C.

Using Models Use the model given to answer the questions about the object or process being modeled. An ocean diver models the pressure $P$ ( in $\mathrm{lb} / \mathrm{in}^{2} )$ ) at depth $d$ (in ft) by $$P=14.7+0.45 d$$ (a) Make a table that gives the pressure for each 10 -ft change in depth, from a depth of 0 ft to 60 $\mathrm{ft}$ . (b) If the pressure is $30 \mathrm{lb} / \mathrm{in}^{2},$ what is the depth?

0:00

Kyle I.

Using Models Use the model given to answer the questions about the object or process being modeled. The distance $d$ (in mi) driven by a car traveling at a speed of $v$ miles per hour for $t$ hours is given by $$d=v t$$ If the car is driven at 70 milh for 3.5 $\mathrm{h}$ , how far has it traveled?

07:20

Alix S.

Using Models Use the model given to answer the questions about the object or process being modeled. The gas mileage $M($ in milgal) of a car is modeled by $M=N / G,$ where $N$ is the number of miles driven and $G$ is the number of gallons of gas used. (a) Find the gas mileage $M$ for a car that drove 240 mi on 8 gal of gas. (b) $A$ car with a gas mileage $M=25$ mi/gal is driven 175 mi. How many gallons of gas are used?

00:57

Amy J.

The model $L=4 S$ gives the total number of legs that $S$ sheep have. Using this model, we find that 12 sheep have $L=$ __________ legs.

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we're being asked to find each product while we're multiplying decibels. So we won't even worry about the fact if our values or negative or positive to start with so first thing to multiply decibels, remember, you don't need to line them up. So what I typically dio is I think of them as non decimals. So almost in this case, for example, a where we have 1.2 times negative. 3.4. If 1.2 didn't have a number a decimal in it, that would be like the number 12. And if again, mocking were about the negative. If 3.4 were in a decimal, it would be 34. So what I'm gonna do first is I'm gonna multiply 12 by 34 so I'll do this off to right below this. So I'm gonna have 12, actually, probably have more room if I go to the side. So we're gonna multiply 12 by 34 and they both have the same number of digits in the problem. So I'm not worried about how the line them up. So now let's go ahead and multiply. Well, four times two is a four times one is four now for the next row, remember? Start with a 03 times to a six and three times one is three. Then we're gonna add the two results. Will. A plus zero is eight. Four plus six is 10. Carry the 11 plus three is four. Okay, now we account for the decimal. Remember, we have to count how many total decimal places were moved in each number. Well, it moved one place in the first and one place in the second for a total of two. So we'll move our decimal two places. So we go 12 so we get 4.8 So that's just quick review how to multiply decimals. Now we have to remember we have to figure out if our answers should be positive and negative. So we go back to our original problem. We have a positive times, a negative. So they were different signs, which means our result should be a negative value. So our final answer will be negative 4.8 Now, for Part B, we have negative seven times Negative. 9.36 Just like I mentioned before, I'm going to pretend that the decimals don't exist, so it's almost like we're multiplying seven by 936. So to do this, I can set this up vertically, but because they have the different number of digits, you always want the number with the most digits to go on top. So I'm gonna have 936 on top and seven down below. Now we're gonna multiply. Well, seven times six is 42. Carry the four. Seven times three is 21 plus four is 25. Seven times nine is 63 plus two a 65. Now, remember, we have to account for our decimal. Well, we didn't have a decimal in our first number seven negative seven, but our second number are Desperate Point Got moved two places to the left. So our answer also has to move to places to the left. So we'll have 65.52 Now we have to determine should our answer be positive. Negative? Well, because both of our numbers were negative, the result will be positive. So our final answer is 65.52

Linear Functions

Solve Linear Inequalities

Functions

Systems of Equations and Inequalities

Graph Linear Functions

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