+0  
 
0
201
2
avatar

What is the equation for this table?

 

x  /    -1     0    1     2      3

----------------------------------------

y  /  0.75   3   12   48   192

Guest Mar 19, 2017
 #1
avatar+86889 
+1

Note that we can write this as an exponential

 

y = a(m)^x      when x  = 0  we have

 

3  = 3(m)^0        so.....a = 3

 

When   x  = 1   we have

 

12 = a (m)^1

 

12   =  3 (m)^1

 

12   =  3(m)

 

So  m   = 4

 

So our function is

 

y  = 3 (4)^x

 

When   x  = -1    y =  3/4  = 0.75

When x  = 2, y = 48

When x = 3,  y = 192

 

 

cool cool cool

CPhill  Mar 19, 2017
 #2
avatar+1489 
0

Try plotting out your points and that may also help with finding an equation, though this works mostly only for linear graphs.

HighSchoolCalculus  Mar 19, 2017

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