Florence makes y cards in 3 minutes. how many cards does she make in 1 minute

y:3

y/3:1

She can make y/3 cards in one minute

Step-by-step explanation:

Florence would have made 1/3y card in 1 minute

Step-by-step explanation:

the the total amount is y and y is also 3 then 3 is 3 times more than 1

sorry if it doesn't make sense.

a) dP / dt = 0.15*P ( 1  - P/750)   ,  r = 0.15 , K = 750

b) decreasing : ( - inf , 0 ) & ( 750 , inf )

    increasing : ( 0 , 750 )

Step-by-step explanation:

Given:

- The standard for of logistic equation:

                       dP / dt = r*P( 1 - P/K)

Where, r and K are constants.

- The given experimental relation is:

                       dP / dt = 0.15*P - 0.0002*P^2

Find:

Rewrite the equation in the typical form to determine the intrinsic growth rate(r) and environmental carrying capacity (K).

For what values of P is the population increasing and decreasing? Write your answers in interval notation

Solution:

- First we will convert the given relation into standard form as follows:

                         dP / dt = 0.15*P - 0.0002*P^2

Factor out 0.15*P:

                         dP / dt = 0.15*P ( 1  - P/750)

- Hence, our constants are:

                         r = 0.15 , K = 750

- We will set up and inequality for what values of P is dP/dt > 0 and dP/dt <0

                          dP / dt = 0.15*P - 0.0002*P^2 < 0

= Solve for P:

                          P < 0 , 1-P/750 = 0 > P > 750

So when when P is decreasing the intervals are:

                          ( - inf , 0 ) & ( 750 , inf )

And when P is increasing the intervals are:

                              ( 0 , 750)