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Write an exponential equation in the form y = abx whose graph passes through points (−3, 24) and (−2, 12).

y = −3(24)x

y = 0.5(3)x

y = 3x

y = 3(0.5)x

 Jan 28, 2019
 #1
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Write an exponential equation in the form y = ab^x whose graph passes through points (−3, 24) and (−2, 12).

 

We have this

 

24 =  a(b)^(-3)

12 = a(b)^(-2)         divide the second equation by the first

 

(1/2)  = b

 

Sub this into the second equation

 

12 = a (1/2)^(-2)

 

12 = a (4)    

 

3 = a

 

So...the equation is

 

y = 3 (1/2)^(x)  = 3(0.5)^x

 

 

cool cool cool

 Jan 28, 2019
edited by CPhill  Jan 28, 2019
edited by CPhill  Jan 28, 2019

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