Question

The bacteria in a container quadruples every day. if there are initially 100 bacteria, write an equation that models the number of bacteria a after d days. how many bacteria will there be after 1 week?

Answer 1

Answer:

$a = 100 * 4^{d}$

In a 1 week there would be 1,638,400 bacteria

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.

Since the amount of bacteria are quadrupling every day this means that the bacteria are compounding, meaning that every time they quadruple the next day the new amount is quadrupled. Thus growing exponentially every time.

So to solve this we would need to create an exponential equation that calculates the amount of bacteria after a certain amount of days, like so...

$a = 100 * 4^{d}$

If we want to calculate the number of bacteria after 1 week , we would substitute d for 7 and solve for a.

$a = 100 * 4^{7}$

$a = 100 * 16,384$

$a = 1,638,400$

In a 1 week there would be 1,638,400 bacteria

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

Answer 2

4a =d
16a = 2d
.......
16,384a = 7d