If f(x) = 3x + 10x and g(x) = 4x – 2, find (f – g)(x). a. 17x – 2 b. 3x + 14x – 2 c. 3x + 6x + 2 d. 3x – 6x + 2

We are given: On january 1, 2000 initial population   = 67,255.

Number of people increase each year = 2935 people.

Therefore, 67,255 would be fix value and 2935 is the rate at which population increase.

Let us assume there would be t number of years after year 2000 and population P after t years is taken by function P(t).

So, we can setup an equation as

Total population after t years = Number of t years * rate of increase of population + fix given population.

In terms of function it can be written as

P(t) = t * 2935 + 67255.

Therefore, final function would be

P(t) = 2935t +67255.

So, the correct option is d.P(t) = 67255 + 2935t.