Please help me!

Use two different methods to expand 1/4(x+2x+16-8)

Both methods give 1/(12x + 32)

Step-by-step explanation:

Given 1/4(x + 2x + 16 - 8)

First Method.

Summing the like terms of the quantities in the denominator we are building, then multipying the root by 4.

Adding like terms in the denominator

1/4(x + 2x + 16 - 8) = 1/4(3x + 8)

Multiply denominator byv4

= 1/(12x + 32)

Second Method.

Multiply the quantities in the denominator by 4, and add the like terms together.

Multiplying denominator by 4.

1/4(x + 2x + 16 - 8) = 1/(4x + 8x + 64 - 32)

Adding like terms in denominator.

= 1/(12x + 32)

Given:

The population of animals = 350

Growth rate = 5% each year.

To find:

The exponential function to model this situation.

Solution:

The general exponential growth model is:

Where, a is the initial value, r is the growth rate in decimal and t is the time period.

Substituting in the above formula, we get

Therefore, the required exponential function is , where f(t) is the number of animals after t years.