Find the value of x in the triangle shown below.
1 answer:
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Answer:
Step-by-step explanation:
First of all, to keep our numbers manageable, we are going to let year 2001 = 0 so year 2012 = 11. The coordinates that result from these years/population numbers are (0, 22200) and (11, 13950). Since this linear, we can plug those 2 coordinate pairs into the slope equation to find the rate at which the population is decreasing in people per year:
That means that the town is losing people at the rate of 750 per year. We can use that slop along with one of the coordinate points to write the linear equation representing this situation:
and
y = -750x + 22200. That answers part A.
Now for B we need to find y when x = 13 (remember we let year 2001 = 0, so year 2014 = 13):
y = -750(13) + 22200 so
y = 12450 people in the year 2014
Considering the asymptotes of the function, the equation that represents the graph is:
- The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.
- The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.
This function, from the graph, has a vertical asymptote at x = -2, hence the denominator is given by:
x + 2, as x + 2 = 0 -> x = -2.
The horizontal asymptote is of y = 3, hence:
Which means that the function is described by the following rule:
More can be learned about asymptotes at brainly.com/question/16948935
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