Find the Exponential function

Question

...That passes through the points (0,1250) and (4,2) in the form f(x) = A*B^x.

Answer 1

Hello Joshua,

you would set up 2 equations using the two points given:

(0,1250): 1250 = A*B^0 = A*1 so A = 1250

(4,2): 2 = 1250*B^4 so 2/1250 = B^4

2/1250 can be simplified to 1/625: B^4 = 1/625

so B = (1/625)^(1/4) = 1/5

since A= 1250 and B = 1/5, the exponential function that passes through those 2 points is:

f(x) = 1250 * (1/5)^x