Exponential function and linear function

Question

write the exponential function that pass through the points left-parenthesis 0 comma 500 right-parenthesis and left-parenthesis 1 comma 600 right-parenthesis.

Answer 1

y = ab^x

500 = ab^0 = a

600 = 500b^1

b = 6/5

y = 500(1.2)^x is the exponential function through the two points