The members of a team can run 500 meters between 57 seconds and 73 seconds.

A. Write an absolute value inequality describing the times for the runners.

57<t<73

B. Graph the inequality on a number line.

Would like help on step B if possible and step A check.

A is right.

Although, it could just as easily be 57 <= t <= 73

On the number line plot the points 57 and 73, and shade the line between them.

Then make sure the two points are either open or closed circles, depending on whether the endpoints are to be included.

Step A is mostly correct. However, since we are dealing with absolute values, we need to write an absolute value expression to describe the difference between the time taken by the runner and the average time.

A. Write an absolute value inequality describing the times for the runners:
The average time is (57 + 73) / 2 = 65 seconds.
Let t represent the time taken by the runner.
The absolute value inequality can be written as:
|t - 65| < k
Here, k is the range within which the runners can finish the 500 meters. We know that the range is between 57 seconds and 73 seconds, so k = (73 - 57) / 2 = 8.

Therefore, the absolute value inequality is:
|t - 65| < 8

Now, let's move on to step B.

B. Graph the inequality on a number line:
To graph the inequality, you can follow these steps:
1. Plot the average time, 65, on the number line.
2. Draw a small line segment to the left and right of 65, representing the range within which the runners can finish the race.
3. Label the left endpoint as 65 - 8 = 57 and the right endpoint as 65 + 8 = 73.
4. Use dotted lines to connect the left and right endpoints to the average time point.

Your number line graph should show a segment between 57 and 73, with dotted lines connecting it to the point at 65.