Question

NEED HELP ASAP! ! THANK YOU SO MUCH! ! : ) (40 POINTS!!)

A scientist collects data on bacteria in a petri dish. She finds that the number of bacteria grows exponentially and can be modeled using the equation y = 16 · 1.8^x
, where x is the number of hours after she sets up the experiment and y is the number of bacteria in the dish.

Complete the sentences to describe the model.

The scientist started with around ( ) bacteria in the petri dish.

Each hour the number of bacteria increases by about ( )%.

Answer 1

Answer: 16 80%

Explanation:

For The scientist started with around ( ) bacteria in the petri dish.:

y = 16 · 1.8^x >x is for hours. At 0 hours x=0

y = 16 · 1.8^0 >Anything to the 0 power =1

y = 16*1

y=16

The scientist started with around (16) bacteria in the petri dish.

Each hour the number of bacteria increases by about ( )%.

We know about x=0

What about x=1

y = 16 · 1.8^x

y = 16 · 1.8^1

y = 16 * 1.8

y= 28.8

% inc = (28.8-16) / 16 *100%

% inc = 80%

Each hour the number of bacteria increases by about ( 80)%.

Answer 2

16 is the amount of bacteria that you started with and each hour the bacteria increases by 1.8%