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Johns Hopkins University

University of Washington

University of Michigan - Ann Arbor

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?

00:52

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.

01:04

Taylor S.

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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equation or inequality seven times absolute value. I'm sorry. Seven plus, the absolute value of six V plus seven is less than or equal to 60. We need to go ahead, and we need to simplify this by subtracting seven on both sides. So now we have the absolute value of six. V Plus seven is less than or equal to 53. So this is what we're going to work twice. So the absolute value of 60 plus seven is less than or equal to 53. So the first time we worked this we're gonna have six V plus seven is less than or equal to 53. We're going to subtract seven 6 ft is less than or equal to 46. Divide by six. This will not be a whole number is gonna be a fraction. But we're going to go ahead and reduce that so V will be less than or equal to 23/3. Yeah. Now let's work. That second time of six V plus seven is greater than or equal to negative 53. We're going to subtract seven, so we'll have six. V is less center equal to negative. 60 divide by six. So V is greater than or equal to negative. CIA. So now let's decide what kind of solution this is. So we have V is less than or equal to 23/3, and we have V is greater than or equal to negative 10. So we'll go ahead and draw our number line now just to kind of rounded about 23/3 is gonna be, um, approximately just a little over seven. So when I go ahead and do this, I'm going to go negative 10 Well, counties by two. So negative eight Negative. Six Negative. Four Negative. 202 four, 68 10, 12 and 14. Okay, so let's start with the is less center equal to 23/3. That's gonna be somewhere between six and eight. It's a little over seven, and it's gonna be going to the left because it is less than it is a close circle. Then V is greater than or equal to negative 10. Close circle. Negative. 10. Going to the right. So both of these arrows are going to be meeting each other. So this means that this is an and statement so another way of writing it is negative. 10 is less than or equal to V, which is less than or equal to 23/3.

Linear Equations and Functions

Linear Equations and Inequalities

Matrices and Determinants

Quadratic Equations

Applications of Trigonometric Functions

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