Question

Write an exponential function to model the following situation.
A population of 130,000 grows 3% per year for 16 years.
How much will the popluation be after 16 years?
Write an exponential function in terms of x.
y=10

Answer 1

Answer:

y = 130,000(1.03)ˣ

Step-by-step explanation:

The general form of an exponetial function is y = abˣ, where a is the initial value (when x = 0), and b is the multiplier (the growth or decay factor). Here, we start with a population of 130,000, so our initial value a = 130,000. A growth of 3% each year represents a growth factor of 1.03, so after x years, the population y should be y = 130,000(1.03)ˣ.

Answer 2

The exponential function in terms of x and y is y = 130,000(1.03)ˣ

What is an exponential function ?

The exponential function is a mathematical function denoted by

y = abˣ

where a is the initial value (when x = 0)

and b is the multiplier (the growth or decay factor).

population starts from 130,000, so

Initial value a = 130,000.

A growth of 3% each year represents a growth factor of 1.03,

so after x years, the population y should be

y = 130,000(1.03)ˣ

Therefore , The exponential function in terms of x and y is y = 130,000(1.03)ˣ

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