aurorabartlett21
aurorabartlett21 aurorabartlett21
  • 04-06-2020
  • Mathematics
contestada

A population of bacteria is growing at a rate of 20% per hour. If the population starts at 320, what is it an hour later?

Respuesta :

Lanuel
Lanuel Lanuel
  • 09-06-2020

Answer:

384.

Step-by-step explanation:

The population is given by the expression;

[tex]Y(t) = Pr^{t}[/tex]

Where;

Y(t) is the number of bacteria at time, t.

P is the starting amount.

r is the growth rate.

Given that, P = 320, r = 20% = 0.2, t = 1

Substituting the parameters into the equation;

[tex]Y(t) = Pr^{t}[/tex]

Y(1) = 320 * 0.2¹

Y(1) = 320 * 0.2

Y(1) = 64.

Therefore, the population of bacteria increases hourly by 64.

An hour later; 320 + 64 = 384.

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