Question

Consider the table of values below. Calculate the associated growth/decay factor for the table of values provided.

Answer 1

Answer:

Q(t) = 14.8(1.392)t

Explanation:

Let us  consider a decay model defined as Q=abt, where t is the time, b is the rate, a is a constant and Q is the quantity at time t

Now, at t=0 quantity = 14.8

Substituting t=0 in our model,

14.8=a

Now, at t=1, quantity = 20.61

Substituting t=1 in our model,

20.61 = 14.8b1,So,

b= 1.392

At t=2,

Q = 14.8(1.392)2 = 28.66 which satisfies our table,

at t=3,

Q = 14.8(1.392)3 = 39.92 which again satisfies the table value