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Mathematics 9 Online
OpenStudy (mysticfury):

Someone Please Help , Ive Done This 3 Times and Still Havent Passed It! Which function has the greatest rate of change? A. 6x – 7y = 21 B. y = 2x – 2 C. x y 2 7 3 13 4 19 D. https://static.k12.com/calms_media/media/1523000_1523500/1523241/1/0e13f22fd8434ba8776b9a5e59dab888deeef694/MS_IMC-1400831-161106.jpg

OpenStudy (arthur326):

These are all linear functions. The rate of change is therefore the slope, so we're looking for the greatest slope. What is the slope of each function?

OpenStudy (mysticfury):

thats what i did before, i found the slope of them all then went with the one that had the biggest slope

OpenStudy (arthur326):

Then you might have found an incorrect slope for one or more of the functions. If you post your slopes here I can verify them for you.

OpenStudy (mysticfury):

@arthur326 Which function has the greatest rate of change? A. x y 1 −3 2 −8 3 −13 B. y = 3x – 8 C. 8x + 4y = 16 D. https://static.k12.com/calms_media/media/1523000_1523500/1523242/1/95f0fcfdba86aa93f7a0cd83672eb495ee04ca98/MS_IMC-1400831-161107.jpg for slope A. -5 B. 3 C. -2 D. -1 so A would be the greatest change in slope correct?

OpenStudy (mysticfury):

@arthur326 you said you would check my slopes for me, so there they are , if your still up for checking them

OpenStudy (arthur326):

Whoa! All your slopes are wrong! I don't know what procedure you used to find them, but you have a misconception somewhere.

OpenStudy (mysticfury):

i just used y^2 - y^1 -------- x^2 - x^1

OpenStudy (arthur326):

The slope is \(\dfrac{\Delta y}{\Delta x}\).

OpenStudy (arthur326):

When you have 2 points \((x_1,y_1)\) and \((x_2, y_2)\), the slope is \(\dfrac{y_2-y_1}{x_2-x_1}\). You don't raise these to any power; it's just the coordinates themselves.

OpenStudy (arthur326):

Oh my apologies! You have all the correct slopes for the second problem. I thought you were referring to the original problem and didn't realize that you posted a different one!

OpenStudy (mysticfury):

i know you dont raise to a power but i didnt wanna use the equation box lol

OpenStudy (arthur326):

Your mistake is that -5 is actually the least slope: positive numbers are considered greater than negative ones.

OpenStudy (arthur326):

So the greatest among those is actually the one with slope 3.

OpenStudy (arthur326):

Tip: in plain text, when you want to denote subscripts, you can do it like this: y_2-y_1. Using the caret denotes a superscript. :)

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