Aculture of bacteria doubles every 2 hours.
a. explain how this situation can be modeled with a sequence.
b. if there are 500 bacteria at the beginning, how many bacteria will there be after 24 hours?

2,048,000.

Step-by-step explanation:

a. Let the initial number of bacteria = x

Since bacteria doubles every 2 hours, so the sequence will be in the form of

x, 2x, 4x, 8x, .........

This sequence is a geometric sequence with a common ratio of 2.

b. Since explicit formula for a geometric sequence is

Where, = population of bacteria after n hours.

            = Initial population

            r = common ratio

            n = number of times population got doubled

By putting the values of each term in the formula :

      =

      = 2,048,000

After 24 hours population of bacteria would be 2,048,000.

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations:

it would take 7/10 of an hour too fill the pool.

step-by-step explanation: