The growth of a sample of bacteria can be modeled by the function bt=1001.06t where b is the number of bacteria and t is time in hours. What is the number of total bacteria after 3 hours?

Given:

The growth of a sample of bacteria can be modeled by the function

where, b is the number of bacteria and t is time in hours.

To find:

The number of total bacteria after 3 hours.

Solution:

We have,

where, b is the number of bacteria and t is time in hours.

Substituting t=3, we get the number of total bacteria after 3 hours.

Number of bacteria cannot be decimal value. So, approximate the value to the nearest whole number.

Therefore, the number of total bacteria after 3 hours is about 3003.

2/3

step-by-step explanation:

the slope of a line is equal to the rise/run. in this case the line rises 2 units for every +3 units it moves

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)