Suppose that dP/dt = 0.13P(t) represents a mathematical model for the growth of a certain cell culture, where P(t) is the size of the culture (measured in millions of cells) at time t > 0 (measured in hours). How fast is the culture growing at the time t when the size of the culture reaches 3 million cells?

0.39million cells/hour.

Step-by-step explanation:

dP/dt= 0.13P(t)

P(t) is the size of the culture

How fast is the culture is the question asked i.e the rate of P

dP/dt=?

Given that

P(t)= 3milions cells at time t

Then,

dP/dt= 0.13P(t)

dP/dt= 0.13 × 3milion cells

dP/dt= 0.39million cells/hour.

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now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.