Tanker boats cannot be in the bay when the depth of water is less or equal to 25 feet. Set up an inequality and solve it graphically to determine all points in time, t, on the interval 0 less than or equal to t less than or equal to 24 when tankers cannot be in the bay. Round all times to the nearest tenth of an hour.

Would the inequality be x+20 less than or equal to 24?

No, the inequality to represent the condition would be:

x ≤ 25, where x represents the depth of water in feet.

To solve it graphically, you would plot the values on a number line and shade the region to the left of 25, including the value 25 itself. This shaded region represents all the depths of water where tankers cannot be in the bay.

To determine the points in time when tankers cannot be in the bay, you need to set up an inequality based on the given condition. Let's start by defining the depth of water in the bay as "x" and the allowed depth for tankers as 25 feet.

The inequality can be written as:
x ≤ 25

Now, let's solve this inequality graphically on the time interval 0 ≤ t ≤ 24, where t represents time in hours.

To graphically represent this inequality, you can plot the depth of water on the y-axis and time on the x-axis.

1. Plot the line x = 25, which represents the maximum allowable depth of water for tankers in the bay. This line will be a horizontal line parallel to the x-axis, passing through the y-coordinate 25.

2. Shade the region below the line, as we are looking for all points in time when the depth of water is less than or equal to 25 feet. This shaded region represents the interval on the x-axis where tankers cannot be in the bay.

3. Now, find the intersection points of this shaded region with the given time interval. Round all times to the nearest tenth of an hour.

By visually inspecting the graph, you can see the time intervals when the depth of water is less than or equal to 25 feet, and therefore tankers cannot be in the bay.

Therefore, the inequality x ≤ 25 represents the condition when tankers cannot be in the bay for the given time interval.

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