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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

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 $C=$ _________.

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.

02:33

Using Models Use the model given to answer the questions about the object or process being modeled. The power $P$ measured in horsepower (hp) needed to drive a certain ship at a speed of $s$ knots is modeled by $$P=0.06 s^{3}$$ (a) Find the power needed to drive the ship at 12 knots. (b) At what speed will a 7.5 -hp engine drive the ship?

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we're being asked to evaluate to given expression when X is equal to three and why is equal to negative four. Remember, when you're asked to evaluate given expressions for certain variables, the first thing you need to do is substitute those values into your expression. So what we're gonna do first is we're going to substitute three and place of X and place of both faxes. I should say on we're going to substitute negative four in place of both of our wise. Remember, when you substitute expressions in, you should put them in parentheses. So when we substitute these values in, we're gonna have to times three times why? Which was negative four. Then we're gonna have minus. Next we have y squared. So in this case, that's going to be negative for squared plus seven Times X, which remember, was three. Now that we substitute our values into our expression now we're gonna use the order of operations to evaluate this. And as you can see off to the right, I put in our order of operations. So let's go through our checklists. Well, Step one is grouping symbols, but the only grouping symbols we have our to represent multiplication, so we don't need to worry about that. Step two exponents. Well, we do have an exponents. We have negative four being squared. Well, that means negative four times negative four, which is positive. 16. So we're gonna have to times three times negative, four minus. And it's positive. 16. So we could bring the 16 down and then plus seven times three. So now we've taken care of our exponents. Step three, multiply and divide from left to right. So first, all we have in this case, we don't have any division. Just multiplication. So let's go from left to right. Well, first, we have two times three, which is six. So we have six times negative. Four minus 16 plus seven times three. Well, we still have more multiplication. We next have six times negative. Four? Well, six times negative. Four is negative. 24. So have negative. 24 minus 16 plus seven times three. And now let's take care of our last multiplication. We have seven times three. Sorry. Cursor got away from me. We have seven times three, which is positive. 21. So we're going to bring down the negative 24 minus 16 plus 21 Now have taken care of our multiplication and division. So now we just need to do our adding subtracting going from left to right. So first we need to do Negative 24 minus 16, which is equal to negative. 40. We're gonna have negative 40 plus 21. And now we just have one operation and negative 40 plus 21 is equal to negative 19. So now we evaluated are given expression on our answer is negative 19.

Linear Functions

Solve Linear Inequalities

Functions

Systems of Equations and Inequalities

Graph Linear Functions

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