Question

the first time a census was taken in the town of lynne, the population was 901. each year after that, the population was about 2% higher than it was the previous year.
sketch the graph that represents the situation. let x represent the number of years since the first census was taken.
what are the coordinates of the point that contains the y-intercept?
(901, 0)
(901, 1)
(0, 901)
(1, 901)

Explanation:

Step1: Recall y - intercept definition

The y - intercept of a graph is the point where the graph intersects the y - axis. By definition, at the y - axis, the value of the independent variable \(x = 0\) (since \(x\) represents the number of years since the first census, when \(x = 0\), it is the time of the first census).

Step2: Determine the population at \(x = 0\)

We know that the population at the first census (when \(x = 0\), because \(x\) is the number of years since the first census) is 901. In the coordinate system, the \(x\) - coordinate is the number of years (\(x\)) and the \(y\) - coordinate is the population. So when \(x = 0\), \(y=901\).

Answer:

\((0, 901)\)