JozelynW
  • JozelynW
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.
Mathematics
katieb
  • katieb
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JozelynW
  • JozelynW
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?
JozelynW
  • JozelynW
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
JozelynW
  • JozelynW
@peachpi please helppp

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CBARREDO1
  • CBARREDO1
Western Beach is losing sand, Dunes beach is gaining sand. Between 11 and 12 years Plot the data against time and draw a curve that goes through the data. Where the two lines cross is the time when both beaches are the same width.
JozelynW
  • JozelynW
ok i think you are correct does anyone agree with him.
JozelynW
  • JozelynW
I don't need to get anything wrong
anonymous
  • anonymous
@CBARREDO1 is correct
JozelynW
  • JozelynW
ok thanks
JozelynW
  • JozelynW
You are such a great person I always count on you to help me with me with math @peachpi thanks a lot.
anonymous
  • anonymous
You're welcome. Thank you! I appreciate that :)
CBARREDO1
  • CBARREDO1
I feel left out here ;-;
JozelynW
  • JozelynW
and thanks to you as well c
JozelynW
  • JozelynW
so @CBARREDO1 is this your paper or did you just do this tooday
JozelynW
  • JozelynW
because i don't want to copy
anonymous
  • anonymous
@CBARREDO1 don't feel left out. you did all the hard work! :)
JozelynW
  • JozelynW
yea definitely i just messaged him
CBARREDO1
  • CBARREDO1
what paper are you talking about?
JozelynW
  • JozelynW
the problem response you gave me
CBARREDO1
  • CBARREDO1
No, I just analyzed, where could I copy it from xD?
JozelynW
  • JozelynW
@CBARREDO1 how would i graph this on geogbra
JozelynW
  • JozelynW
any one knows
CBARREDO1
  • CBARREDO1
What's geogbra?
JozelynW
  • JozelynW
ldo you know what is desmos
JozelynW
  • JozelynW
@peachpi do you know how to graph on geogbra
JozelynW
  • JozelynW
or desmos
CBARREDO1
  • CBARREDO1
I know desmos
JozelynW
  • JozelynW
ok how on desmos. i don't know hot to graph point only equations
anonymous
  • anonymous
sorry I don't know geobra. I don't really know how to do points on desmos.
JozelynW
  • JozelynW
cant be mad cause i don't know either.
anonymous
  • anonymous
you can make equations for the lines by hand or use wolframalpha to get the line between points. then graph the lines on desmos
JozelynW
  • JozelynW
ok let me see
JozelynW
  • JozelynW
im on the website and i dont know where to go
anonymous
  • anonymous
Go to wolframalpha.com There should be a box to type in. Enter this to get an equation for the first beach: line through (0,100) and (5,90)
JozelynW
  • JozelynW
k
JozelynW
  • JozelynW
it says y=100-2x
JozelynW
  • JozelynW
well is their another 2 point to do?
CBARREDO1
  • CBARREDO1
put that equation in desmos, and then the line comes do the same for the next
anonymous
  • anonymous
^yep
JozelynW
  • JozelynW
wait but aren't we trying to figure out the approx for year 11 and 12
JozelynW
  • JozelynW
when they will be the same width
JozelynW
  • JozelynW
approximation of when the two beaches will have the same width?
anonymous
  • anonymous
that's why you're graphing them. once you have the lines graphed you're looking for the intersection point, which will be between 11 and 12
JozelynW
  • JozelynW
but 0,100 is is year 0 while 5,90 is year 5. Year 11 and 12 are the closest, so should't we be doing year 11 and 12 then finding where intersection point is?
JozelynW
  • JozelynW
and how will we have two lines
JozelynW
  • JozelynW
please talk back
JozelynW
  • JozelynW
@peachpi WHAT HAPPENED
anonymous
  • anonymous
sorry didn't realize you had posted something here. You're going to have 2 different equations, one for each beach. We found the first equation is y = 100 - 2x. Find the second one using 2 points from the other beach, like (0, 20) and (5,45). As far as choosing 11 and 12, it doesn't matter. It takes 2 points to define a line, it doesn't matter which two points you use. You can use the points that correspond to 11 and 12 and the results will be the same. I just picked the two I chose because they were the top two points.
JozelynW
  • JozelynW
I COPY AND PASTED JUST AS IT IS HERE SO IT IS Y=5X+20 sorry about caps
anonymous
  • anonymous
ok. so the two lines you're going to graph are y = 5x + 20 and y = 100-2x
anonymous
  • anonymous
and you're looking for the intersection point
JozelynW
  • JozelynW
it is (11.43,77.14)
anonymous
  • anonymous
yes
JozelynW
  • JozelynW
ok thank you
anonymous
  • anonymous
youre welcome

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