Use the formula y = Ca^x to determine the constants C and a.

Question

Use the formula y = Ca^x to determine the constants C and a.

 

(0,9) and (1,3)   

 

C = ?

Answer 1

Hi Keith;

y=ca^x

(0,9) and (1,3)

9=ca⁰...anything to the power of zero is 1...

9=c

3=ca¹

3=c(9)¹

3=9a

3/9=a

1/3=a

Answer 2

 Y = C a ^X

 

   ( 0, 9 ) , ( 1,3 )

 

   9 = C a⁰ = C 

 

    3 = 9 a¹

 

    a = 3/9 = 1/3