please, I need help solving this

Question

This exercise uses the exponential growth model.

It is observed that a certain bacteria culture has a relative growth rate of 15% per hour, but in the presence of an antibiotic the relative growth rate is reduced to 4% per hour. The initial number of bacteria in the culture is 26. Find the projected population after 24 hours for the following conditions. (Round your answers to the nearest whole number.)

(a)

No antibiotic is present, so the relative growth rate is 15%.

bacteria

(b)

An antibiotic is present in the culture, so the relative growth rate is reduced to 4%.

bacteria

Answer 1

Hello, Lana.

The formula is

	=	exponential growth function
	=	initial amount
	=	growth rate
	=	number of time intervals

When you plug in the given values;

Part a) 26(1+0.15)^24=744. (15%. = 0.15)

Part b) 26(1+0.04)^24=67. (4% = 0.04)

Hope that helps