Question

The graph below shows the distance, y, in feet, 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 feet 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?

0.23 foot per minute; it represents the speed of the mouse
9 feet; it represents the original distance of the mouse from its hole
0.23 foot; it represents the original distance of the mouse from its hole
9 feet per minute; it represents the speed of the mouse

Answer 1

Based on the graph, what is the initial value of the graph and what does it represent 0.23 foot; it represents the original distance of the mouse from its hole

Answer 2

The initial value is (0,9).

Hence option B is correct.

Explanation:

Based on the graph, the initial value of the graph is (0,9)

where x=0 and y=9

where for the coordinate (x,y) ; x represents the time in minutes and y denotes the distance of the mouse from the hole in feet.

That means initially(i.e. at time t=0) the mouse is 9 feet away from the hole.

Hence the answer is 9 feet; it represents the original distance of the mouse from its hole.

Hence option B is correct.