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McMaster University

Harvey Mudd College

University of Michigan - Ann Arbor

Idaho State University

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?

07:29

James C.

Using Models Use the model given to answer the questions about the object or process being modeled. An ocean diver models the pressure $P$ ( in $\mathrm{lb} / \mathrm{in}^{2} )$ ) at depth $d$ (in ft) by $$P=14.7+0.45 d$$ (a) Make a table that gives the pressure for each 10 -ft change in depth, from a depth of 0 ft to 60 $\mathrm{ft}$ . (b) If the pressure is $30 \mathrm{lb} / \mathrm{in}^{2},$ what is the depth?

02:07

Taylor S.

Suppose gas costs $\$ 3.50$ a gallon. We make a model for the cost $C$ of buying $x$ gallons of gas by writing the formula $C=$ _________.

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

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So in this example, we're being asked to write a phrase right to given phrase as a variable expression, and we're gonna let X represent the number. So what we're being given in this case of different phrases, and we want to come up with an algebraic expression to represent it. So let's start with number one. It says the product of the in the number. So the first thing we need to do is identify what operations happening. Well, in this case, the word product means to multiply. So now the question is, Well, what are we multiplying? Well or multiplying? Eight. And a number which remember, in this case a number is represented by X. So essentially, we're just multiplying eight and X so we can write this as eight x. Now let's go to number two. It says one third of a number. So again, first thing, pick out the word that means the operation, which in this case, is the word off because remember, of means times Well, what do we multiplying? Well, we're multiplying one third and the number remember, the number is X. So essentially, we just need to write an algebraic expression just show that we're multiplying one third and X so we can do this by putting one third X and lastly, number three. It says twice a number. Well, the key word here is the word twice. Remember, this means to multiply by two. Well, what are we multiplying by two? Well, we're multiplying a number by two. And remember, a number is represented by our variable X. So essentially, we're taking this number X and multiplying it by two. So the right it as an algebraic expression, we would simply right to x.

Linear Functions

Solve Linear Inequalities

Functions

Systems of Equations and Inequalities

Graph Linear Functions

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