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Destinyyyy
 one year ago
In 2000, 51% of the residents in a large city regularly used newspapers for getting news and this has decrease at an average rate of approximately 1.6% per year since then. Find a linear function in slope inter form that models this description. The function should model the percentage of residents, P(x), who regularly used the newspaper outlet x years after 2000.
Destinyyyy
 one year ago
In 2000, 51% of the residents in a large city regularly used newspapers for getting news and this has decrease at an average rate of approximately 1.6% per year since then. Find a linear function in slope inter form that models this description. The function should model the percentage of residents, P(x), who regularly used the newspaper outlet x years after 2000.

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Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.0Need a refresher.. Don't really remember how to solve this one.

freckles
 one year ago
Best ResponseYou've already chosen the best response.0So at t=0 we have the year 2000 and we are given at t=0 the percentage was 51% or .51 we are also given the percentage decreases per year by 1.6% aka 0.016 So at t=1 aka year 2001 what would be the new percentage?

freckles
 one year ago
Best ResponseYou've already chosen the best response.0well it is the very next year and we are given the percentage decreases by 0.016 per year

freckles
 one year ago
Best ResponseYou've already chosen the best response.0so since at t=0 we had y=.51 then at t=1 we have y=.510.016 since this is the very next year the next year after that t=2 we would have y=.512(0.016)

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.0I thought for this problem I have to do the f(x1) f(x2) thing

freckles
 one year ago
Best ResponseYou've already chosen the best response.0for this problem they are asking you to find the line that represents the information the line being of the form y=mx+b where m is the rate aka slope and b is the yintercept

freckles
 one year ago
Best ResponseYou've already chosen the best response.0you are actually given the rate which is 0.016

freckles
 one year ago
Best ResponseYou've already chosen the best response.0y=0.016x+b you just need to find b now

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.0Um okay? Then I have absolutely no clue how to solve this. I have no examples. And this is the unit review.

freckles
 one year ago
Best ResponseYou've already chosen the best response.0well did you understand at t=0 we have .51?

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.0No because I don't get what "t" stands for..

freckles
 one year ago
Best ResponseYou've already chosen the best response.0and since I'm looking at the year 2000 and the question says find an equation for t years after 2000 then then year 2000 is actually when time=0

freckles
 one year ago
Best ResponseYou've already chosen the best response.0or I used t for time variable so t=0

freckles
 one year ago
Best ResponseYou've already chosen the best response.0(0,.51) is the first point on the graph (1,.51.016) is the next point on the graph because we are given the rate of decrease is .016 do you understand this part? In year 2001, the very next year after 2000 we will have a decrease of 0.016 from .51 which is actually .494

freckles
 one year ago
Best ResponseYou've already chosen the best response.0so you have two points (0,.51) (1,.494)

freckles
 one year ago
Best ResponseYou've already chosen the best response.0you could even do more points if you wanted to

freckles
 one year ago
Best ResponseYou've already chosen the best response.0the 2nd year you would have another decrease of 0.016 so (2,.512(0.016)) or you could do it from the previous year (2,.494.016) same number for y whatever strikes your fancy the cool think about recognizing it is (2,.512(0.016)) is that you have already noticed your line

freckles
 one year ago
Best ResponseYou've already chosen the best response.0for example if you have noticed for the 2nd your the ycoordinate was .512(0.016) then you might notice for xth year you have .51x(0.016)

freckles
 one year ago
Best ResponseYou've already chosen the best response.0(x,.51x(0.016)) which tells you the line is y=.51x(0.016) or if you prefer to write as y=0.016x+.51

freckles
 one year ago
Best ResponseYou've already chosen the best response.0the question gave you the yintercept which was the initial percentage and it also gave you the rate you just needed to plug the numbers in

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.0Okay. So the answer is p(x)= 0.016x +.51

freckles
 one year ago
Best ResponseYou've already chosen the best response.0np I hope it makes sense though.. if you don't like those ugly decimal numbers it might be easier first to look at this example: Say we pick a year and call it t=0. And we are given at t=0 we have 1001 dogs. And we are also given we gain 5 dogs per year. Then for t=1 we have how many dogs?

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.0I understand it now.

freckles
 one year ago
Best ResponseYou've already chosen the best response.0ok cool for my example the slope would be positive since we are gaining dogs and not losing dogs :) I didn't want to pick a sad example

freckles
 one year ago
Best ResponseYou've already chosen the best response.0if you wanted to know for my example the answer to my question would be 1001+5 or 1006 and if you wanted the equation of the line then it would be y=5x+1001 where y represents the number of dogs and x presents the years after whatever year t=0 represented

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.0Alright. Thank you. Sorry this was my second to last question and I just want to be done. I've been up since 7.

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.0The answer was incorrect. The correct answer is 1.6x+51
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