In the context of a linear model representing the population growth of a city since 1900, the slope of the model represents the rate of change in population over time. It indicates how much the population is expected to increase or decrease for each unit increase in time.
If the slope is positive, it means that the population is expected to grow at a certain rate over time. For example, if the slope is 500, it means that the population is expected to increase by 500 people every year since 1900.
If the slope is negative, it means that the population is expected to decrease at a certain rate over time. For example, if the slope is -200, it means that the population is expected to decrease by 200 people every year since 1900.
The y-intercept of the model represents the starting population at the year 1900. It indicates the population size before any growth or decline occurred. For example, if the y-intercept is 10,000, it means that in the year 1900, the city had a population of 10,000 people.
The population growth of a city since 1900 is represented by a linear model. Interpret the slope and the y intercept
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