Volume of air (in mL)
2500
2000
1500
1000
500
y
0
1
2
3
(3.25, 2600)
(6.75, 1300)
4
5
6
7
8
Time (in seconds)
9
10
(10.25, 2600)
(13.75, 1300)
11
12 13 14
Write an equation in terms of y,
volume of air in a person's lungs
in mL, and t, time in seconds, to
represent the given context.
Can you give me the period

Respuesta :

Based on the given context, we can write the equation in terms of y (volume of air in a person's lungs in mL) and t (time in seconds) as follows:

y = 2600 - 1300 * cos((2π/3.5) * (t - 10.25))

To find the period of this equation, we need to determine the time it takes for one complete cycle or oscillation. The period can be calculated using the formula:

Period = 2π / (2π/3.5)

Simplifying, we get:

Period = 3.5 seconds

So, the period of the given equation is 3.5 seconds.