Question

(05.05 MC)

The graph below shows the distance, y, in miles, of a mouse from its hole, 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 Hole in miles along the y-axis. The scale on the x-axis shows the numbers 0 to 45 at increments of 9, and the scale on the y-axis shows the numbers 3 to 24 at increments of 3. A straight line joins the ordered pairs 0, 9 and 9, 12 and 18, 15 and 27, 18 and 36, 21.
Based on the graph, what is the initial value of the graph and what does it represent? (1 point)


0.23 mile per minute; it represents the speed of the mouse

9 miles; it represents the original distance of the mouse from its hole

0.23 mile; it represents the original distance of the mouse from its hole

9 miles per minute; it represents the speed of the mouse

Answer 1

The correct option is 2. The initial value is 9 miles and it represents the original distance of the mouse from its hole.

Explanation:

It is given that graph defines the relation between distance and time. It is shown with Time in minutes along the x-axis and Distance from Hole in miles along the y-axis.

The line passing through the points (0,9), (9,12), (18,15), (27,18) and (36,21).

At the initial stage, the value of x is 0. From the given points we can say that the initial point is (0,9).

Since y-axis represents the distance from hole in miles, therefore (0,9) represents that the mouse is 9 miles from its hole at inital.

Therefore the initial value is 9 miles and it represents the original distance of the mouse from its hole. Option 2 is correct.