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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.

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?

0:00

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

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 $C=$ _________.

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quality six minus four. Tom's six in plus seven is greater than or equal to 122. Now, when you haven't inequality that says greater than or equal to or less than or equal to, you're gonna solve it the same way. So we're going to continue on, and we're gonna simplify the inequality before we begin solving. So we need to go ahead and do distributive property on the left side. So we're gonna have six and then negative four times six. Sand is negative, 24 in and negative. Four times seven is negative. 28 is greater than or equal to 122. So now let's go ahead and combine any like terms so we could combine our six and our negative 28. So six and negative 28 is going to give me a A negative 22 minus 24 in is going to be greater than or equal to 122. I'm going to add 22 to both sides. That's gonna cancel out on the left and leave me with negative 24. Ian is greater than or equal to 120 to divide and plus 22 is 144. So now that we've got this all the way to the last step, we need to make sure we look at that last step. In our last step, we're gonna be dividing by negative 24 which means that our inequality sign is going to change. Now it's only gonna change the inequality part. So instead of greater than it's gonna say less than but it will still have the option of or equal thio underneath. So make sure you bring that line down if it says that. So that's gonna cancel the negative 24 on the left and leave me with my in 144. Divided by negative. 24 is going to give me a negative six so in is less than or equal to negative six.

Linear Equations and Functions

Linear Equations and Inequalities

Matrices and Determinants

Quadratic Equations

Applications of Trigonometric Functions

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