Question

The graph shows the distance, y, in miles, of a bee from its hive over 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 Hive in miles along the y-axis. The scale on the x-axis shows the numbers 0 to 30 at increments of 6, and the scale on the y-axis shows the numbers 2 to 16 at increments of 2. A straight line joins the ordered pairs 0, 6 and 6, 8 and 12, 10 and 18, 12 and 24, 14.

Based on the graph, what is the initial value of the graph and what does it represent?

6 miles; it represents the original distance of the bee from its hive
0.34 mile per minute; it represents the speed of the bee
0.34 mile; it represents the original distance of the bee from its hive
6 miles per minute; it represents the speed of the bee

Answer 1

Based on the graph:

The initial value of the graph is: 6 miles.

It represents the original distance of the bee from its hive.

Explanation:

The initial point is the point where the independent variable is zero and the initial value is the value of the dependent variable at the initial point.

From the graph we observe that the distance of bee from the hive initially i.e. when the time was zero is 6.

Since, at time t=0 the value on the horizontal axis is: 6.

Hence, the correct option is:

6 miles; it represents the original distance of the bee from its hive.

Answer 2

The ordered pair (0 minutes, 6 miles from hive) is the initial value on the graph (the value with time=0). The distance value is 6 miles.

It tells you the distance of the bee from its hive "originally" or "initially" or "at t=0" or whatever equivalent description you might like.


The appropriate choice is ...
6 miles; it represents the original distance of the bee from its hive