The graph below shows the distance, y, in miles, of a bird from its nest for a certain amount of time, x, in minutes:
Graph titled Distance Vs Time is shown with Time in minutes along the x-axis and Distance from Nest in miles along the y-axis. The scale on the x-axis shows the numbers 0 to 25 at increments of 5, and the scale on the y-axis shows the numbers 1 to 8 at increments of 1. A straight line joins the ordered pairs 0, 3 and 5, 4 and 10, 5 and 15, 6 and 20, 7.
Based on the graph, what is the initial value of the graph and what does it represent? (1 point)
3 miles per minute; it represents the speed of the bird
0.2 mile per minute; it represents the speed of the bird
0.2 mile; it represents the original distance of the bird from its nest
3 miles; it represents the original distance of the bird from its nest
The initial value of the graph is the y-intercept, which is the point where the graph intersects the y-axis. In this case, the y-intercept is at the point (0, 3). This means that when x = 0 (at the start), the distance from the nest is 3 miles. Therefore, the correct answer is:
3 miles; it represents the original distance of the bird from its nest