The volume v, in liters, of air in the lungs during a five-second respiratory cycle is approximated by the model v + 0.1729t + 0.1522t² - 0.0374t³, where t is the time in seconds. approximate the average volume of air in the lungs during one cycle.

The average volume of air in the lungs during one cycle is 0.53176 liters.

Step-by-step explanation:

Given : The volume V, in liters, of air in the lungs during a five-second respiratory cycle is approximated by the model , where t is the time in seconds.

To find : The average volume of air in the lungs during one cycle ?

Solution :

The volume V of air in the lungs during a five-second respiratory cycle is

Then the average volume of air in the lungs during one cycle [0,5] is

The average volume of air in the lungs during one cycle is 0.53176 liters.

1 3 5

step-by-step explanation:

i took the test: )

this is a direct variation proportion. y = kx

y is the total amount due, k is the constant of variation, and x is the number of texts sent.

plug in the 3.20 and the 16 to solve for the "k". this is the constant of proportionality. it is the value that will not change.

3.20 = k(16). solving you get $.20 per text.

the equation would then be y = .20x