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00:26

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

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?

03:07

Taylor S.

Using Models Use the model given to answer the questions about the object or process being modeled. Arizonans use an average of 40 gal of water per person each day. The number of gallons $W$ of water used by $x$ Arizonans each day is modeled by $W=40 x$ . (a) Make a table that gives the number of gallons of water used for each $1000-$ person change in population, from 0 to $5000 .$ (b) If the pressure is $30 \mathrm{lb} / \mathrm{in}^{2},$ what is the depth? (b) What is the population of an Arizona town whose water usage is $120,000$ gal per day?

06:25

Daniel P.

Using Models Use the model given to answer the questions about the object or process being modeled. The portion of a floating iceberg that is below the water sur- face is much larger than the portion above the surface. The total volume $V$ of an iceberg is modeled by $$V=9.5 S$$ where $S$ is the volume showing above the surface. (a) Find the total volume of an iceberg if the volume show- ing above the surface is 4 $\mathrm{km}^{3}$ . (b) Find the volume showing above the surface for an ice- berg with total volume 19 $\mathrm{km}^{3}$ .

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we're being asked to evaluate the given expression using the order of operations. So, as you can see, I wrote our steps off to the right so we can almost use it as a checklist. So let's start with Step one grouping symbols. So we have a bracket here, so we have to evaluate inside the bracket first. Well, as you can see, we have multiple operations, so we have to follow our order of operations even within this bracket. So within our bracket, Step two would then be exponents, which we do have inside our bracket. We have three squared. Well, remember, three squared means three times three, which is equal denied. So we're going to rewrite our expression as to to the third plus bracket nine plus eight divided by four times to everything else just comes down. Well, we still have multiple steps inside that bracket. We've taken care of our exponents, but we do have multiplication and division again. We have to go in order from left to right. So our first operation would be division. We have eight divided by four, which is to, So we're gonna have to to the third plus bracket nine plus again eight divided by four ways to. And we'll bring you in our times too. Now, we still have more multiplication and division. We have multiplication. We have two times two, which is equal before. So we're gonna bring down to to the third plus bracket nine plus four. Now, we have one operation inside our bracket. We have nine plus four, which is 13. So we're gonna be left with you to the third plus 13, and you can keep the bracket. Um, if you'd like, but because nothing's on the outside touching it, you don't necessarily have to bring it down. So now we're taking care of our grouping symbol. So the next thing on our list for order of operations is exponents, which we do have. We have to to the third, which remember, means two times, two times two, which is equal to eight. So we're gonna be left with eight plus 13. And now we just have one operation, so we can just take care. Sorry about that. We could just take care of our one operation. And a plus 13 is equal to 21. So what we've found is the value of our original expression is 21

Linear Functions

Solve Linear Inequalities

Functions

Systems of Equations and Inequalities

Graph Linear Functions

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