Question

Write an exponential function in the form y=ab^x that goes through points (0,13) and (2,637)

Answer 1

y=13(7)^x

Explanation:

x = 0, y = 13, so we know that a = 13.

13b^2 = 637 ==> x=2 and y=637

b^2 = 49 ==> divide both sides by 13

b = 7 ==> take the square root on both sides

y = 13 * 7^x ==> plug in 7 for b in y = 13b^x

Answer: y=13(7)^x