Question

The population of a town was taken in 2010. After 3 years, the population of the town is 9,300. After 9 years, the population of the town is 8,100.

Assuming the change in population is constant each year, which is the equation of the line?

(1 point)
Responses

y=200x+9900
y is equal to 200 x plus 9900

y=−200x+9900
y is equal to negative 200 x plus 9900

y=−200x+9300
y is equal to negative 200 x plus 9300

y=9900x−200
y is equal to 9900 x minus 200

Answer 1

Find the slope: m = (8100−9300)/(9−3) = −1200/6 = −200. Use point-slope with (3,9300):
y − 9300 = −200(x − 3) → y = −200x + 9900.

So the correct equation is y = −200x + 9900.