Researchers recorded that a certain bacteria population declined from 120,000 to 200 in 36 hours. At this rate of decay, how many bacteria will there be in 31 hours? Round to the nearest whole number.

There will 486 bacteria in 31 hours.

Step-by-step explanation:

The population decay in bacteria is exponential.

Exponential function : , where A = initial population, b multiplication decay factor, t= time:

As per given:

Initial population:

After 36 hours, population =

Divide both sides by 120,000 we get

Taking natural log on both sides , we get

At x= 31,

Hence, there will 486 bacteria in 31 hours.

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

4.

step-by-step explanation:

it have the same area.brainliest