Respuesta :

Answer:

The value of k is 4

Explanation:

Solution

Given that:

k = integer

Input size = 500

The algorithm takes a run of = 16 seconds

Input size = 750

The algorithm takes a run of = 81 seconds

Now,

We have to determine the value of k

The equation is shown below:

(500)^k /16 = (750) ^k /81

Thus

(750/500)^ k = 81/16

= (3/2)^k

=(3/2)^ 4

k is = 4