SOLUTION: Write an exponential function y=ab^x with (-3, 24), (-2, 12) please write every step out no matter how simple

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Question 942916: Write an exponential function y=ab^x with (-3, 24), (-2, 12) please write every step out no matter how simple
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
y=ab%5Ex
24=ab%5E%28-3%29
a%2Fb%5E3=24
1.a=24b%5E3
.
.
12=ab%5E%28-2%29
a%2Fb%5E2=12
2.a=12b%5E2
Equate eq. 1 by eq. 2,
24b%5E3=12b%5E2
2b=1
b=1%2F2
Then,
a=12%281%2F2%29%5E2
a=12%281%2F4%29
a=3
So then,
highlight%28y=3%2F%282%29%5E%28x%29%29