Understanding Y-Intercept in Growth Models

The video tutorial explains how to identify and plot the y-intercept of an exponential growth model. It begins with a problem description involving a biologist studying horse populations on an island, where the population starts at five and doubles each year. The tutorial emphasizes understanding the y-intercept as the starting population when no time has passed, which is plotted on the coordinate axis at the point (0, 5).

What is the main task described in the problem?

• To calculate the growth ratio of a population.

• To plot the y-intercept of a growth model.

• To determine the slope of a linear model.

• To find the x-intercept of a growth model.

What is the initial population of the horse species on the island?

• Twenty

• Ten

• Five

• Two

What is the growth ratio of the horse population each year?

• Four

• Three

• Two

• One

Which axis represents the y-intercept on a coordinate plane?

• Vertical axis

• Horizontal axis

• Diagonal axis

• None of the above

What does the y-intercept represent in this growth model?

• The growth ratio

• The starting population

• The time elapsed

• The final population

At what point on the coordinate plane is the y-intercept plotted?

• (0, 2)

• (0, 10)

• (0, 5)

• (0, 20)

Why is the y-intercept important in this context?

• It determines the slope of the graph.

• It represents the growth ratio.

• It indicates the starting population when time is zero.

• It shows the maximum population.