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In each case, a linear relationship between two quantities is described. If the relationship were graphed, what would be the slope of the line?a. The sales of new c...

Question

In each case, a linear relationship between two quantities is described. If the relationship were graphed, what would be the slope of the line?a. The sales of new cars increased by 15 every 2 months.b. There were 35 fewer robberies for each dozen police officers added to the force.c. One acre of forest is being destroyed every 30 seconds.

In each case, a linear relationship between two quantities is described. If the relationship were graphed, what would be the slope of the line? a. The sales of new cars increased by 15 every 2 months. b. There were 35 fewer robberies for each dozen police officers added to the force. c. One acre of forest is being destroyed every 30 seconds.



Answers

In each case, a linear relationship between two quantities is described. If the relationship were graphed, what would be the slope of the line? a. The sales of new cars increased by 15 every 2 months. b. There were 35 fewer robberies for each dozen police officers added to the force. c. One acre of forest is being destroyed every 30 seconds.

Okay, we know we have two points. 30 comma, 30 and 34 comma. 28. Let's find the slope. Why? To minus y one over X T minus x one 28 minus 30 over 34 minus 30. This gives us a slope of negative 1/2 her negative. 2/4. Okay. Now plugging in 28 equals negative. 1/2. This is our M times are X plus. Be gives us a bi of paused of 45 rendering our final equation y equals negative 1/2 expose 45.

So far this problem we can go ahead and use thes slope intercept equation that were given. Why's equal tomo en plus beef? To help us decide which variable is going to be our X and which will correspond to her. Why variable here? And so since we know that, why is on the left side that tells us that our yield yield to corresponds to our why variable and and is on the right side will deploy buyer slope. So that tells us that our number of being stocks will correspond to our end variable. And I use this to help me write my points, um, in the form of the standard X Y coordinate that were used to. So our first point, we know that if we plant 30 stocks, which is our, uh, and which corresponds to eggs, we're going to get a yield of 30 ounces per plant. And if we have ah, and of 34 stocks were going to get a yield of 28 ounces per plant. And so from here, we can go ahead in, uh, find our slope of the line between these two points, so we know that we're going to find that slope by using the equation. Why? To minus y one, which is 28 minus 30 over X two minus X one, which will be 34 minus 30. And so when we simplify this, we're going to get a negative too over four. So our slope, uh, is going to just be negative 1/2. And now that we have our slope, we can go ahead and use this and one of our points. All good news. 10.1, and plug these into our equation, our soap intercept form of our equation to solve for B. So since we're using 0.1, we know that Y is equal to 30 which is equal to em, which we said his negative 1/2 times end, which is 30 plus b. So when we distribute out the right side, we're going to get 30 is equal to negative 15 plus beef and solving for B, we get B is equal to 45. And so now that we have our m and be variables, all have to do is plug it into the equation that were given. So we know that why Amar yield per plant is going to be equal to negative 1/2 times the number of being stocks that we plant plus 45

So for those one, we can have accent. Right? So we're having actually coast one. Why you also stray Able actually calls true why he comes to Fry actually called to straight. Will you call to someone? So we need five higher So four and nine fry and allow it. So you have true paraphrase lives. Try the 1st 1 We have won three s. I can point how to five in the slope here does equal to fry minus 3/2 minus what Ritchie calls to true So let's Troy Town our graph We have the slope we called to to and we have our pointy coastal one street so we can see my point Cuts on the sideline and the UAE injure savvy Costa one And those one actually intercepted coastal on five and a slow Jesse Coastal one over on flatly trustee house to to

Those local FX it go do poo explicit theory, right? So corruption of exes, slow slow fees and the light deceptive. This is the way people visit the When was the way to separate lying to say It's good. So there's your answer. Slope is to find the surface.


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