Find the equation of the exponential function represented by the table below:

Question

x-1-2-3

y-5-10-20-30

Answer 1

x = 0, 1, 2, 3

y = 5, 10, 20, 30

y = ab^x

y= ab^0 = a = 5

y = 5b^1 = 10

b = 10/5 =2

y =5(2^x)

y(0) = 5(2^0) = 5

y(1) = 5(2^1) = 10

y(2) = 5(2^2) = 20

y(3) = 5(2^3) = 5(8) =40 not 30

odds are the problem missed a key on the key board and hit 4 instead of 3 for last y value,

it left out the x=0, so already a little off. otherwise, no exponential function fits the data, at least not precisely