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University of California, Berkeley

Michigan State University

03:07

Taylor S.

Using Models Use the model given to answer the questions about the object or process being modeled. Arizonans use an average of 40 gal of water per person each day. The number of gallons $W$ of water used by $x$ Arizonans each day is modeled by $W=40 x$ . (a) Make a table that gives the number of gallons of water used for each $1000-$ person change in population, from 0 to $5000 .$ (b) If the pressure is $30 \mathrm{lb} / \mathrm{in}^{2},$ what is the depth? (b) What is the population of an Arizona town whose water usage is $120,000$ gal per day?

01:56

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 $C=$ _________.

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?

01:13

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.

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problem. Let's look at the inequality. Three times one minus two X is greater than three minus six X. Why notice on the left side, We need to go ahead and simplify because we have a parentheses. So let's use distributive property and we're gonna multiply three times. One is three, three times negative to eggs is negative. 66 is greater than three minus six x. Well, before I go any further, I noticed something on this problem. I noticed that my left side and my right side look just a lock. Let's see what happens with that. So let's out. Let's move my ex to the left side. So we're gonna add six x two, both shots. So that's gonna give me three. Well, negative six X plus six x will cancel out is greater than three. Well, I really can't do anything else from this point, so we need to decide. It looks like I'm not gonna have a just regular solution that says X equals R X is greater than so. I'm either gonna have a solution. That is all real numbers or I'm gonna have a no solution. Well, remember that all real numbers is for a true statement. No solution is a false statement. Well, let's look at what we have. We still have three is greater than three. Well, three is not greater than 33 in fact is actually equal to three. So this is a false statement, which means there is no solution to this inequality. But if you go back and you look right here at this step, we see that they were identical at this step right here. Sometimes you may be able to find where they're identical before you finish the problem. I could already see that three minus six X. If they're identical, it can't be greater than three minus 66

Linear Equations and Functions

Linear Equations and Inequalities

Matrices and Determinants

Quadratic Equations

Applications of Trigonometric Functions