Question

The population of a city is currently 2,760,065. The population is increasing at a rate of 10,000 people per year. Which is the equation of the line that represents the total population, y, in terms of years, x?(1 point)
Responses

y=2,760,065x+10,000
y is equal to 2 comma 760 comma 065 x plus 10 comma 000

y=10,000x−2,760,065
y is equal to 10 comma 000 x minus 2 comma 760 comma 065

y=10,000x+2,760,065
y is equal to 10 comma 000 x plus 2 comma 760 comma 065

y=−10,000x+2,760,065

Answer 1

To represent the total population \( y \) in terms of years \( x \), we start with the current population and add the increase based on the rate of growth over the years.

The current population is 2,760,065. The population increases by 10,000 people per year, so after \( x \) years, the population would be:

\[ y = 2,760,065 + 10,000x \]

This matches the format \( y = mx + b \), where \( m \) is the rate of change (10,000 in this case) and \( b \) is the starting value (2,760,065).

Thus, the correct equation is:

**y = 10,000x + 2,760,065**