Cx)=x+2こメ 1=xExample 4Suppose that a construction zone can allow 50 carsper hour to pass through and that cars arriverandomly at a rate of x cars per hour. Then theaverage number of cars waiting in line to getthrough the construction zone can be estimated byxam3x²2500 - 50xN(x) =(a) Evaluate N(20), N(40), and N(49).(b) Explain what happens to the length of the lineas x approaches 50.(c) If the average number of cars waiting in line is 1, findthe average of cars per hour.(d) Find and interpret the vertical asymptotes.

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Asked Mar 15, 2020
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Cx)=x+2
こメ 1=x
Example 4
Suppose that a construction zone can allow 50 cars
per hour to pass through and that cars arrive
randomly at a rate of x cars per hour. Then the
average number of cars waiting in line to get
through the construction zone can be estimated by
xam3
x²
2500 - 50x
N(x) =
(a) Evaluate N(20), N(40), and N(49).
(b) Explain what happens to the length of the line
as x approaches 50.
(c) If the average number of cars waiting in line is 1, find
the average of cars per hour.
(d) Find and interpret the vertical asymptotes.
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Cx)=x+2 こメ 1=x Example 4 Suppose that a construction zone can allow 50 cars per hour to pass through and that cars arrive randomly at a rate of x cars per hour. Then the average number of cars waiting in line to get through the construction zone can be estimated by xam3 x² 2500 - 50x N(x) = (a) Evaluate N(20), N(40), and N(49). (b) Explain what happens to the length of the line as x approaches 50. (c) If the average number of cars waiting in line is 1, find the average of cars per hour. (d) Find and interpret the vertical asymptotes.

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