Answer:
a = 10 and b = 5
Step-by-step explanation:
We write out f(x)= ab^x for x = 0 and x = 3 to create two equations in a and b that must be solved simultaneously:
(0, 10): 10 = a*b^0
This tells us that 10 = a*1, or a = 10.
(3, 1250): 1250 = a*b^3 => 10*b^3, or
1250 = 10*b^3, or
125 = b^3. Taking the cube root of both sides, we obtain b = 5.
a = 10 and b = 5
