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At which of the following air temperatures will thespeed of a sound wave be closest to 1, 000 feet persecond?$$\begin{array}{l}{\text { A) }-46^{\circ} \mathrm{F}} \\ {\text { B) }-48^{\circ} \mathrm{F}} \\ {\text { C) }-49^{\circ} \mathrm{F}} \\ {\text { D) }-50^{\circ} \mathrm{F}}\end{array}$$

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okay. In this problem, we are given an equation which is a equals one thousand fifty two plus one point oh, eight t. And I'm going to assume that you've carefully read the question and possibly underlined important information. So, for instance, here we're being told that a stands for the speed of the sound that's going to be important to underline and t stands for temperature. So you wouldn't write this off to the side. You would just underline what I'm writing here in the problem. The other important information here is that they're telling us the speed is one thousand in this particular case for this question. Okay, Now, this is a very common type of S a T question in which you're given an equation or sometimes called a function with two variables A and T in this case, and you're being given one of the variables and you simply have to find the other one. So it's really just a question of making sure that you're clear which variable you're given and where it goes in the equation. Sometimes units are an issue like you have to be clear. Did they? They give the speed in certain units and they want him in different units here. The units are consistent. So I'm not going to mention units, but do pay attention to that. So get clear on which variable you're given. In this case, you are given speed and you're told that the speed is one thousand. So keep things nice and neat and right under A which stands for the speed substitute one thousand. And now we can see that we just have an equation with one variable t standing for temperature, and we're going to solve for it. So the way we do that is subtract one thousand fifty two from both sides. And since this is a calculator section, you can use your calculator for this if you want, and you're going to get minus fifty two week with one point Oh eight T. Now it's often a good idea to scan your answer choices because sometimes you can rule out answers or see on answer. That's actually going to be correct before having to spend time more time on the problem. In this case, the answers are all pretty close together forty six forty eight, etcetera, and I really can't tell which one's going to be the right answer based on my equation, so I'm just going to keep solving it. We're going to divide both sides by one point eight, and you wouldn't necessarily write this on your test. But you can and then punch it into your calculator, and it will give you forty eight point one four and some other decimals. But since the question asked for the closest, we see that B forty eight is the correct choice.

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