Question

Graph the absolute value equation that represents the given situation, d = |s 250 - 50.

Then mark the points that represent the horizontal distance from the left shore where the river bottom is
20 feet below the surface.

Answer 1

Answer:The answer is below

Explanation:

The bottom of a river makes a V-shape that can be modeled with the absolute value function, d(h) = ⅕ ⎜h − 240⎟ − 48, where d is the depth of the river bottom (in feet) and h is the horizontal distance to the left-hand shore (in feet). A ship risks running aground if the bottom of its keel (its lowest point under the water) reaches down to the river bottom. Suppose you are the harbormaster and you want to place buoys where the river bottom is 20 feet below the surface. Complete the absolute value equation to find the horizontal distance from the left shore at which the buoys should be placed

Answer:

To solve the problem, the depth of the water would be equated to the position of the river bottom.

h is=380 or h=100

Explanation:

Answer 2

The absolute value equation that represents the situation with the points marked is attached

Graphing the absolute value equation that represents the situation

From the question, we have the following parameters that can be used in our computation:

`d = \frac15|s - 250| - 50`

The above function is an absolute value equation that has a vertex of (250, 50)

The horizontal distance from the left shore where the river bottom is 20 feet below the surface is calculated by setting d to 20

So, we have

`\frac15|s - 250| - 50 = -20`

This gives

`\frac15|s - 250| = 30`

Expand

|s - 250| = 150

Expand and evaluate

s - 250 = 150 and s - 250 = -150

This gives

s = 250 + 150 and s = 250 - 150

Evaluate

s = 400 and s = 100

The points are marked on the graph