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:
B.
Step-by-step explanation:
We are given the function:
[tex]y=7870(1.01)^x[/tex]
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:
[tex]y(0)=7870(1.01)^0=7870(1)=7870[/tex]
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.