(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.
Now we will use cross products
6n = 1630 Now we divide both sides by 6
<u>6n</u> = <u>1630
</u>6 6
n= 271.666..... which rounds to
272 as the nearest integer
A folder costs 1.15 more than a pen, so a pen is x, folder is x+1.15
COST = 6x + 3(x + 1.15)
An equation for this problem is
Cost = number of pens(x) + number of folders (x + 1.15)
Answer:
malabo ang picture hindi q msydo mkita
The equation of the line in slope intercept form is y = 2x - 2.
<h3>How to find the equation of a line?</h3>
The equation of a line can be represented in different form such as slope intercept form, point slope form, standard form and general form.
The equation of a line can be represented in slope intercept form as follows:
y = mx + b
where
Therefore, the slope of the line can be found as follows:
using (0, - 2)(2, 2)
m = 2 + 2 / 2 - 0
m = 4 / 2
m = 2
Therefore, the y-intercept can be solved as follows:
using (0, -2)
y = 2x + b
-2 = 2(0) + b
b = -2
Therefore, the equation is y = 2x - 2
learn more on equation of a line here: brainly.com/question/14200719
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