Question

Which is the graph of f(x) = 100(0.7)x?

On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100).
On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 9) and (0, 100).
On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 70) and (0, 100).

Answer 1

f(2) = 100*(0.7)^2 = 100*0.49 = 49, and f(0)=100*(0.7)^0=100. So the correct graph is the first one (the curve through (0,100) and (2,49), decaying toward y=0).