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Baylor University

University of Michigan - Ann Arbor

Idaho State 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.

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?

00:26

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

01:04

Using Models Use the model given to answer the questions about the object or process being modeled. Mintonville School District residents pay a wage tax $T$ that is modeled by the formula $T=0.005 x .$ Find the wage tax paid by a resident who earns $\$ 62,000$ per year.

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So in this problem, we're being asked to use mental math to solve each equation. Then we're gonna check our solution. So what you want to do is think of it almost like a question. So let's go. The number one. It says X plus nine is equal to 15. So really, what they're asking you for is the value for X. That would make this true. So we have to think about one number when I add nine to it would give us 15. Well, that would be six. So that means X with equal to six. So now how do we check? Well, the check. We're gonna substitute six in place of acts in our equation to see if it's true. So we would have six plus nine and we need to know if it's equal to 15. Well, six plus nine is in fact, 15 we, which means that six is the correct solution to this equation. So that's essentially how you would use mental math to solve these equations. Now let's go. The number two. It says four X is equal to negative 20. Well, remember, when four is touching X like that, that means multiplication So what we need to ask ourselves is four times what number is equal to negative 20. Well, that would be negative. Five. So we're thinking that X is equal to negative five. Well, let's go ahead and check. Remember to check. We're gonna substitute negative five in place of X. So we would have four times negative. Five. And we need to know Is that equal to negative? 20. Well, four times negative. Five is negative. 20. So what we've shown is that negative 20 is equal to negative 20. So we've now proven that negative five is, in fact, the solution to this equation.

Linear Functions

Solve Linear Inequalities

Functions

Systems of Equations and Inequalities

Graph Linear Functions

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