1. A scientist is observing the reproduction of a certain bacteria. On Monday, she started with 2 bacteria and the number of bacteria doubled each day. How many bacteria will there be on Saturday? (a) What is the total number of bacteria in exponential form? (b) Explain how to change from exponential form to simplified form. (c) What is the total bacteria in simplified form?

y = 2^6 bacteria on Saturday

y = 64 bacteria

Step-by-step explanation:

The formula for exponential growth is

y = a b^x

where

y = a is the initial value and b is the growth rate

y = 2 * 2^x

Monday is day 0

So Saturday is Day 5

y = 2 * 2^5

y = 2 * 32

y = 64

y = 2^6 bacteria

There are 64 bacteria on Saturday

We can simplify the formula since the initial value and the growth rate are the same

y = 2 * 2^x

We know a^b * a^ c = a^ (b+c)

y = 2^1 * 2^x

= 2^ (x+1)

= 2 ^ (5+1)

= 2^6

= 2*2*2*2*2*2

=64 bacteria