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Please help. I've been stuck on these and I'm not sure how to answer them. Please show work. I need to understand these questions. Thanks!!

 May 20, 2019
 #1
avatar+105277 
+2

Here's the first two

 

When x  = 3, y = 3.5 =  ( 3, 3.5)

When x  = 6, y = 9  =  ( 6, 9)

 

So....the average rate of change is like the slope between two points and is given by

 

[9 - 3.5 ]              5.5          55            11

_______  =       ____  =   ____   =    ___

[6 - 3 ]                  3           30              6

 

 

For the second one.....the independent variable  =  Side Length

And the dependent variable  = Area

 

 

cool cool cool

 May 20, 2019
 #3
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+1

So sorry for the late reply. I didn't see that it was answered. Thank you for your help. I was very confused.

Guest May 20, 2019
 #2
avatar+105277 
+2

For the last  one, set the listed factors to 0 and solve for x.....this  must produce 2/3

 

So

 

2x - 3  =  0     add 3 to both sides

2x  = 3            divide both sides by 2

x = 3/2     no!!!

 

The second and fourth answers will produce negative answers for x

 

But.....notice that....

 

3x - 2  = 0

3x = 2

x = 2/3           and "C"  is the one we want

 

 

 

cool cool cool

 May 20, 2019

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