Question

The number of members for an e-commerce company was 1,600 in the year that the company started and has increased by 10% per year since then. The exponential function of the number of members, M(t), in terms of t, the number of years since the year the company started, can be described by M(t) = 1600(1.10)t. What is M(5) and its interpretation in the context of the problem?

M(5) = 2576.816; After 5 years, there are approximately 2,576 members in the company.
M(5) = 8800; After 5 years, there are approximately 8,800 members in the company.
M(5) = 1681.62; After 5 years, there are approximately 1,681 members in the company.
M(5) = 17605; After 5 years, there are approximately 1,7605 members in the company.

Answer 1

M(5) = 2576.816; After 5 years, there are approximately 2,576 members in the company.

What is Exponential model to estimate any value?

It tells what will be the value after given time,

Exponential function, F(x) = a(b)ˣ

here, a = initial value

b = 1 + r

and r = rate of change.

F(x) = a ( 1 + r )^x

Here, x is in time

a = 1600 (initially number of members in the company)

r = 10% or 0.1

t = 5 year

so, using M(t) = 1600(1.10)^t

M(5) = 1600 x (1.10)^5

M(5) = 2576.816 Approximately, 2576

Hence, M(5) = 2576.816; After 5 years, there are approximately 2,576 members in the company.

Learn more about "Exponential Function" from here: brainly.com/question/11487261

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