The y-intercept of the exponential function is approximately 300 less than the y-intercept of the linear function. The correct option is B.
The y-intercept of a linear function represents the initial value or population at the starting point, while the y-intercept of an exponential function indicates the initial quantity or population when time is zero. In this case, the exponential function's y-intercept is approximately 300 less than the linear function's y-intercept.
The discrepancy highlights that the exponential growth starts at a slightly lower population compared to the linear model. This distinction in initial values is crucial for understanding the different growth patterns exhibited by linear and exponential functions, impacting the trajectories of population changes over time in Greeville and its surrounding county. Option B is the correct answer.
The complete question is:
The linear function in the graph shows the population of Greeville in the years since 2010.
The exponential function in the table represents the student population of the county that Greeville is in, in years since 2010.
Years since 2010 2 3 4 5
Population 2200 4400 8800 17,600
How does the y-intercept of the exponential function compare to the y-intercept of the linear function? Drag the correct answer to the box to complete the statement.
A. approximately 300 more than
B. approximately 300 less than
C. approximately 2000 more than
D. approximately 2000 less than
The y-intercept of the exponential function is _______ the y-intercept of the linear function.