If the number of bacteria in a colony doubles every 210 minutes and the population is currently 8,000 bacteria, what will the population be in 630 minutes and is it modeled by a linear function or an exponential function?
a) 24,000; linear function
b) 24,000; exponential function
c) 64,000; linear function
d) 64,000; exponential function

D is the answer

64,000 exponential function  

Step-by-step explanation:

64,000 exponential function  

The number of bacteria in a colony doubles  every 210 minutes.

The population of bacteria = 8000

Determine how many times the population will double.

 = 3

Multiply the population by 2 a total of 3 times.

8000 × 2³ = 64,000

be more specific

step-by-step explanation:

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .