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Missouri State University

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Harvey Mudd College

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.

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?

Kelli P.

Making Models : Write an algebraic formula that models the given quantity. 15. The cost $C$ of purchasing $x$ gallons of gas at $\$ 3.50$ a gallon

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we're being asked to evaluate to given expression when X is equal to negative three. So to evaluate this expression, the first thing we need to dio is substitute negative three in place of X. And if you know, this X occurs more than once, so you have to substitute it in place of each of those values for X. So when we do this, we're gonna have to times negative three squared and then minus seven times again, we have X. So we're gonna have a negative three and then plus five. So now we have a numerical expression. Now we're gonna follow the order of operations, which I've listed for us off to the right. So first we have grouping symbols, Yes, but it's just to indicate multiplication. So step to do we have in the exponents? Yes, we dio we have negative three squared. Well, that means negative three times negative three, which is positive Nine. So you're gonna have two times nine minus seven times negative three plus five. Now we've taken care of our exponents. Step three, multiply and divide in order from left to right. What? We do have multiplication. First we have two times nine, which is 18. So I'm 18. Minus Well, then we have more multiplication. We have seven times negative three, which is negative. 21. So because it's a negative value, I'm going to put it inside parentheses, and then I'll bring down the positive five. So now we've taken care of our multiplication. So our last step, we're gonna Anna subtract in order from left to right. Sorry. Cursor got away from either. So add is attracted in order from left to right. So first we have 18 minus negative. 21. We'll remember to subtract. We're gonna add the opposite. So we're really gonna have 18. Plus, the opposite of negative 21 is positive. 21 and then I'll just bring down the positive five. So now we can still go from left to right. First, we have 18 plus 21 which is 39 and then we have 39 plus five, which is equal to 44. So what we found is the value of our original expression when X is equal to negative. Three is positive. 44

Linear Functions

Solve Linear Inequalities

Functions

Systems of Equations and Inequalities

Graph Linear Functions

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