Question

population of golden hills

determine whether each statement is true according to the graph. select true or false for each statement.

the population is increasing throughout the time period.
the greatest growth in population was from year 5 to 15.
the population has a constant rate of change.
the population was about 9,000 when the town was founded.

Explanation:

Step1: Analyze population trend

Since the graph is going upwards throughout the time period (as \(y\)-axis (population) increases with \(x\)-axis (time)), the population is increasing throughout. So, the statement "The population is increasing throughout the time period" is True.

Step2: Analyze growth rate

The slope of the graph (which represents the rate of change of population) is steeper from year \(5\) to \(15\) compared to other intervals. So, the statement "The greatest growth in population was from year \(5\) to \(15\)" is True.

Step3: Analyze rate of change

The slope of the graph (rate of change) is not constant (as the steepness of the curve changes). So, the statement "The population has a constant rate of change" is False.

Step4: Analyze initial population

When \(x = 0\) (town founded), looking at the \(y\)-value (population), it is about \(9000\). So, the statement "The population was about \(9,000\) when the town was founded" is True.

Answer:

Statement	True	False
The greatest growth in population was from year \(5\) to \(15\)	✓
The population has a constant rate of change		✓
The population was about \(9,000\) when the town was founded	✓