Respuesta :

The exponential growth rate is obtained as 0.1099.

What is the rate of multiplication?

Now we know that an exponential function has to do with an exponential increase or decrease. An exponential function could increase or decrease and this means that the constant of the function could be a decay constant or a growth constant.

When we have an exponential function, we have to apply the general formula; P(t) = P(o)e^rt

Po = initial number

P(t) = number at time t

r = rate of growth

t = time taken

Thus;

270=90e^10r

270/90 = e^10r

3 = e^10r

ln3 = 10r

r = ln3/10

r = 0.1099

After 13 hours;

P(t) = 90e^(0.1099 * 13)

P(t) = 376

Learn more about exponential growth:https://brainly.com/question/11487261

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