There are 16 bacteria in a beaker. four hours later there are 228 bactriea in the beaker. what is the rate of change per hour in the number of bacteria.

Rate of change per hour in the number of bacteria is r=0.28

Step-by-step explanation:

Given : There are 16 bacteria in a beaker and four hours later there are 228 bacteria in the beaker.  

To find : What is the rate of change per hour in the number of bacteria.

Solution :

At initial number of bacteria is 16

After 4 hours number of bacteria is 228

Rate of change per hour is given by

where A = total number of bacteria, P = initial number of bacteria, r= rate of change , t= time  

Taking log both side,

Therefore, Rate of change per hour in the number of bacteria is r=0.28

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15