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Johns Hopkins University

University of Texas at Austin

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?

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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good. Absolute value equation too. Minus five times absolute value of five M minus fave equals negative 73. Now, before we begin working this twice, we have to simplify. I noticed our absolute value is not by itself, because we have this too. And this negative five. So we need to move them away. So let's start by subtracting two on both sides. That's gonna cancel on the left. Leave me with negative five times five M minus five equals negative 75. Now we need to get rid of that negative five. So we're gonna divide by negative five on both sides. That's gonna cancel on the left. Leave me with The absolute value of five. M minus five equals 15. So here's what I can work out twice. So let's do the absolute value of 5 a.m. Minus five equals 50. So the first time we work this out, we're gonna work out five AM minus five equals 50. We're gonna start by adding five to both sites. So I have five. Elm equals 20. We're going to divide by five. So I am is going to equal four. The second time I work it. I'm gonna have five. M minus five equals negative. 15. We're gonna add five to both sods. So five AM equals negative 10. Divide by five. Um, equals negative, too. So my solution set ISS four negative, chick.

Linear Equations and Functions

Linear Equations and Inequalities

Matrices and Determinants

Quadratic Equations

Applications of Trigonometric Functions

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