The value of b in the exponential function y = 20(b)^x can be found using given points (0,20) and (1,10).
The exponential function y=20(b)ˣ is given, and it passes through the points (0, 20) and (1, 10).
To find the value of b in the exponential function y=20(b)ˣ we can use the given points (0,20) and (1,10).
For the point (0,20), substitute x = 0 and y = 20 into the function:
20 = 20(b)^0 = 20
For the point (1,10), substitute x = 1 and y = 10 into the function:
10 = 20(b)^1 = 20b
Solve the second equation for b:
10 = 20b
b = 10/20
b = 0.5
Therefore, the value of b is 0.5.