MATH SOLVE

3 months ago

Q:
# Consider the table of values below. Calculate the associated growth/decay factor for the table of values provided.Time Value0 14.801 20.612 28.683 39.92Write your answer as a decimal, rounded to the nearest hundredth.

Accepted Solution

A:

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