Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Number of subscribers in 2010 = 11.99 million
Number of subscribers 2015 = 5.43 million
Let :
N = number of subscribers in millions
t = time in years
Exponential function which describes this decline :
N(t) = No×e^kt
Solve for k at t = 5
11,990,000 = 11,990,000 × e^k*0
5,430,000 = 11,990,000 × e^5k
0.4528773 = e^5k
In(0.4528773) = In(e^5k)
−0.792134 = 5k
k = −0.792134 / 5
k = −0.158426
What will the number of subscribers be in 2019?
In 2019
t = (2019 - 2010) = 9
N(t) = 11,990,000×e^(−0.158426*9)
= 11,990,000 * e^(−1.425841)
= 11,990,000 × 0.2403062
= 2,881,511.5 = 2,881,511
3. In what year will the number of subscribers fall below 1, 500,000?
N(t) = No×e^kt
1,500,000 = 11,990,000 × e^(−0.158426*t)
0.1251042 = e^(−0.158426*t)
In(0.1251042) = In(e^(−0.158426*t))
−2.078607 = 0.158426*t
t = (−2.078607 / 0.158426)
t = −13.12036
After 13.12036 years
2010 + 14 = 2024
