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McMaster University

Harvey Mudd College

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Idaho State University

02:13

Taylor S.

Using Models Use the model given to answer the questions about the object or process being modeled. A mountain climber models the temperature $T$ ( in $^{\circ} \mathrm{F}$ ) at elevation $h$ (in ft) by $$T=70-0.003 h$$ (a) Find the temperature $T$ at an elevation of 1500 $\mathrm{ft}$ . (b) If the temperature is 64$^{\circ} \mathrm{F}$, what is the elevation?

00:50

Making Models : Write an algebraic formula that models the given quantity. 14. The average $A$ of two numbers $a$ and $b$

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?

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So in this example, we're gonna be asked to write the freeze as a variable expression, and we're gonna let X represent the number. So let's start with number one. So we're given the phrase the some off a number of sorry, the sum of eight, and the number will remember some means edition. So now the question is, Well, what are we adding? What? We're adding eight plus a number. But remember, we're referring to acts as the number, so we're adding eight in the number, so the algebraic expression would be eight plus X. All right, let's try number two. It says the number increased by 10. So the operation here is addition, because we have the phrase increased by because increase means to add Well, what two things are we adding? Well, we're adding a number which we call our X, and we're adding tense, so our expression will be X plus 10. All right, let's go to number three. It says seven more than the number. So first we look out, we look for a phrase that represents an operation. Well, that would be the phrase more than remember more than means edition. So now we look for What are we at adding? Well, we're adding seven plus a number which remember we call X, so we want to find seven more than a number. That means we're starting with that number, which is X, and we're adding seven to it. So we're adding seven onto X, so X plus seven would represent seven more than the number now. Because Edition is communicative, You could have also, in this case, done seven plus x. Either way would be perfectly fine.

Linear Functions

Solve Linear Inequalities

Functions

Systems of Equations and Inequalities

Graph Linear Functions

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