1. The US Dept of Commerce estimates that the number of internet users worldwide

Question

1. The US Dept of Commerce estimates that the number of internet users worldwide was 2.2 billion in 2011 and 2.9 billion in 2014.

(a) Find an exponential model f for this data in which t is measured in years, with t=0 corresponding to 2011, and f(t) is measured in billions. Round b to three decimal places.

(b) Use the results of part (a) to determine f(4). Interpret your answer.

f(4)= What does this value mean?

(c) It is estimated that in 2015 there were 3.2 billion users. How does the model compare with these findings?

Explanation / Answer

standard exponential equation is given by

y = Ao e^kt

from two points (0, 2.2) and ( 3 , 2.9)

Ao = 2.2

2.9 = 2.2 e^(3k)

2.9/2.2 = e^3k

k = 0.0921

a) exponential model is

f(t) = 2.2 e^.092 t

b) f(4) = 2.2 e^.092 (4)

= 3.179 billion

number of internet users in 2015 = 3.179 billion

c) actual users were 3.2 billion and according to the model it was 3.179 billion

so, we can say that the model is quiet accurate

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.