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Campbell University

McMaster University

00:55

Taylor S.

Using Models Use the model given to answer the questions about the object or process being modeled. The volume $V$ of a cylindrical can is modeled by the formula $$V=\pi r^{2} h$$ where $r$ is the radius and $h$ is the height of the can. Find the volume of a can with radius 3 in. and height 5 in.

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.

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?

02:13

Using Models Use the model given to answer the questions about the object or process being modeled. A mountain climber models the temperature $T$ ( in $^{\circ} \mathrm{F}$ ) at elevation $h$ (in ft) by $$T=70-0.003 h$$ (a) Find the temperature $T$ at an elevation of 1500 $\mathrm{ft}$ . (b) If the temperature is 64$^{\circ} \mathrm{F}$, what is the elevation?

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So in each of the following examples, we want to write the expression in exponential form. Meaning were you need to figure out the base and the X phone. So let's start with part A. We have negative three times negative three times negative three times negative, three times negative three. So remember writing an exponential form just makes it a nice shorthand for us. So remember, our beast is the factor that keeps getting repeatedly multiplied, which in this case, is negative three. Now, whenever you're bases negative, you should always put in the parentheses and in a later example will show you why. So our base again is negative. Three. So I'll put that in parentheses and our exponents is the number of times it's getting multiplied, which in this case, is 123 45 So our exponents will be five. So negative three. Race to the fifth Power X will be an expression in exponential form for part a. Now, how about Part B? Well, it says eight cubes. So remember, cubed means the power of three. So that means eight is our base, and again because it's getting cubed, three will be our exponents so we'll have eight raised to the third power now. Lastly, part C, we have negative seven. Getting squared will remember squared means to multiply it by itself twice, which means this exponents is too. So our bases negative seven. And, as mentioned earlier, anytime you're bases negative, you should always put in parentheses, so we'll have negative seven in parentheses and, because it's getting squared, will raise it to the second power. So the one big thing that you want to know from this section is, any time you're basis negative, you should always put it in Prem facie. And as you go through, um, or examples, you'll see why that makes a big difference.

Linear Functions

Solve Linear Inequalities

Functions

Systems of Equations and Inequalities

Graph Linear Functions

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