SOLUTION: The variables x and y satisfy the equation y=A(b^-x), where A and b are constants. The graph of ln y against x is a straight line passing through the points (0, 1.3) and (1.6, 0.9)

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: The variables x and y satisfy the equation y=A(b^-x), where A and b are constants. The graph of ln y against x is a straight line passing through the points (0, 1.3) and (1.6, 0.9)      Log On


   

Question 865532: The variables x and y satisfy the equation y=A(b^-x), where A and b are constants. The graph of ln y against x is a straight line passing through the points (0, 1.3) and (1.6, 0.9). Find the values of A and b, correct to 2 decimal places.
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
y=A%2Fb%5Ex
1.3=A%2Fb%5E0
A=1.30

so this means
0.9=1.3%2Fb%5E1.6
and so
b=1.26

y=1.30%2F1.26%5Ex