Question

Two ocean beaches are being affected by erosion. The table shows the width, in feet, of each beach measured at high tide where 1995 is represented by year 0:
Year number Western Beach width (in feet) Dunes Beach width (in feet)
0 100 20
5 90 45
10 80 70
11 78 75
12 76 80
15 70 95

Describe the patterns shown by the erosion data measurements shown for each of the beaches in the table.
Between which years will the beaches have approximately the same width?
Assuming these rates remain constant, what can you do to get a better approximation of when the two beaches will have the same width?

Answer 1

Answer:

Step-by-step explanation:

1. Erosion patterns

(a) Western Beach

In 15 yr, Western Beach erodes from 100 ft to 70 ft.

The rate of erosion is 30 ft/15 yr = 2 ft/yr.

(b) Dunes Beach

In 15 yr, Dunes Beach builds up from 20 ft to 95 ft.

The rate of buildup is 75 ft/15 yr = 5 ft/yr.

Beaches with equal width

The western beach loses 2 feet each year, every 5 years the beach loses 10 feet. Dunes beach gets 5 feet every year, and every 5 years the beach loses 25 feet.

2.From the table, it appears that the beaches will have the same width sometime in year 11 (2006).

wester beach at 11 years it was 78.

dunes beach it was 75.

and these are the most closest value beatween two  beaches

3. even if the rate remains constant we wont be able to have same width . because the width of weatern beach is decreasing and dunes beach is increasing. so the year their width was almost equal was year 11th. they will never have the same width because western beach is going down in width and dunes is going up.

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