Question

Write the rule for the table.

hours #of bacteria
1 32
2 256
3 2048
4 16384
5 131072
6 1048576

Answer 1

Did you notice that each number is a power of 2 ?

e.g.
32 = 2^5
..
16384 = 2^14
..
1048576 = 2^20

See what you can do with that hint

Answer 2

and look at the problem below this one :)

Answer 3

I'm still a little lost

Answer 4

I see that it is 2^x = the # of bacteria but i'm still stuck

Answer 5

let's look at the exponents of your given data
32 = 2^5
256 = 2^8
2048 = 2^11
16384 = 2^14
131072 = 2^17
1048576 = 2^20

so the exponents are 5, 8, 11, 14, 17, 20
they are an arithmetic sequence with a = 5 and d = 3
term(n) = a + (n-1)d
= 5 + (n-1)(3) = 3n +2 <==== general expression for your exponent

so number of bacteria = 2^(3x + 2)

Answer 6

Thank you so much for your help!!