Question

The population of a certain city be modeled by y=7870(1.01)^x where x is the number of years since the city was founded and y is the population.

Answer 1

B.

Explanation:

We are given the function:

`y=7870(1.01)^x`

Which represents the population of a certain city x years after it was founded.

The y-intercept is the y-value when x = 0. So:

`y(0)=7870(1.01)^0=7870(1)=7870`

If x = 0, this means that zero years have passed since the city was founded.

So, the y-intercept represents the initial amount of people when the city was founded (in this case, there were 7870 people).

The correct answer is B.