Two ocean beaches are being affected by erosion. The table shows the width in feet of each beach at high tide measured where 1995 is represented by year 0. A. Describe the patterns shown by the erosion data measurements shown for each of the beaches in the table.
B. Between which years will the beaches have approximately the same width?
C. Assuming these rates remain constant, what can you do to get a better approximation of when the two beaches will have the same width?

A:linear function for both :

beach: y=-2x+100 (x=0, y=100)

dunes=5x+20 ( when x=0, y=20 (year1995)

B: after almost 11 years: it will be year 2006  and 2007 (after 11.429 years)

C: when the two rates of erosion are equal at the rate of 77 and almost 11 years

-2x+100=5x+20

-2x-5x=-100+20

-7x=-80

-80/-7=x

x=11.429

y=77.143

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

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