approximate equation help

Question

Find an approximate equation y=ab^x of the exponential curve that contains the given pair of points, round the value of b to two decimal places, show your work and write the full equation below.

(A) (0,4) and (5,42)

(B) (0,10) and (4,3,2)

Answer 1

Since (0,4) is on the graph of y = a(b)^x, 4 = a(b)⁰. So, a = 4

y = 4(b)^x

Since (5,42) is also on the graph, we have 42 = 4(b)⁵. So, b⁵ = 10.5. b = (10.5)^1/5.

Do the other problem in a similar manner.