Answer:
Each person pays $12.
Step-by-step explanation:
$10 + $2 = $12
(a)The amount of people that went on the escalator is given by the integral
270 people enter the elevator <span>during the time interval 0 ≤ t ≤ 300
</span>You can save time by just writing that and getting an answer from your calculator. You are not expected to write out the entire integrand. Since this is for 0 ≤ t ≤ 300, you would be typing this integral into your calculator
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(b)
There are 80 people at time t = 300
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(c)Since there are 80 people at time t = 300 and r(t) = 0 for t > 300, the rate of people in line is only determined constant exiting rate of <span>0.7 person per second. The amount of people in line is linear for t > 300.
This is for t > 300, so
The first time t is approximately t = </span><span>414.286</span>
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(d)The absolute minimum will occur at a critical point where r(t) - 0.7 = 0 or at an endpoint.
By graphing calculator,
If
represents the amount of people in line for 0 ≤ t ≤ 300, then
P(0) = 20 people (given)
P(33.013) ≈ 3.803
P(166.575) ≈ 166.575
P(300) = 80
Therefore, at t = 33.013, the number of people in line is a minimum with 4 people.
To find the straight line distance from A to B, use the Pythagorean Theorem: AC2 + CB2 = AB2 ---> 412 + 342 = ab2
---> 2837 = AB2 ---> AB = 53.3
Walking from A to C to B = 41 + 34 = 75 meters.
Walking from A to B will save you 75 - 53.3 = 21.7 meters.