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Taylor Shimono

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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Using Models Use the model given to answer the questions about the object or process being modeled. Mintonville School District residents pay a wage tax $T$ that is modeled by the formula $T=0.005 x .$ Find the wage tax paid by a resident who earns $\$ 62,000$ per year.

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Kelli Peritz

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

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in this example. We're being asked to evaluate the following If F of X is equal to five minus two X and G of X is equal to eight X minus three. So notice in this case, we have two different functions. We have our ffx function and RG affects function. So let's take a look at number one. They want us to fine the value of f of three. Well, because we use a letter f that tells us we're talking about our f of X function, So we're not going to use the G of X function at all in this particular case. Well, how are we gonna find f of three? We're simply going to substitute three in place of X in our function, so we would have five minus two times three. And now that we've substituted it in, we just need to evaluate. Well, first we're gonna multiply. We're gonna have two times three, which is six. So we're left with five minus six and five minus six is negative one. So what we found is that f of three is equal to negative one. All right, let's take a look at number two. We're being asked to find G of negative one will notice we're using the GI function in this particular case. So that means we need to use our GI function. We're not going to use the f of X function at all in this particular example. So what we're going to dio is substitute negative one in place of acts and RG function. So that means we'll have eight times negative one minus three. And now we just need to evaluate Well, eight times negative one is negative eight and negative eight minus three is negative. 11. So what we found is the value of RG function when X is equal to negative one is negative. 11. All right, let's take a look at number three because this looks a little bit different. We're being asked to find f of M plus five, so we're not given a particular value in this case, we're giving an expression. However, the way we still deal with it is the same as if we were number. All we're going to dio First off is talking about our F function. So we're looking at f of X. So the find f of M plus five we're simply going to substitute M plus five in place of ax. So when we do, this will have five minus two times the quantity of our input, which is m plus five. And now we just need to evaluate this expression. So first, we're going to need to distribute, so I'm gonna bring down the five. Now, let's distribute well, negative. Two times m is going to be negative to em. And then we're going to need to multiply negative to buy five, which is negative. 10. So again, negative. Two times them is negative to em. And what's right That a little bit? Neither. There we go. And negative two times five is negative. 10. Well, I see we have, like, terms. Here we have five minus 10, which is going to be equal to negative five. So what we're going to be left with is negative five minus two m. We're gonna bring that to one down because it doesn't have a late term. So now we've evaluated our expression for f of m plus five. So in this case, we don't get a specific value. We get an expression, and that's okay. So any time you given expression, you will end up with an expression you won't end up with a specific value

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