Bacteria can multiply at an alarming rate when each bacteria splits into two new cells, thus doubling. if we start with only one bacteria which can double every hour, how many bacteria will we have by the end of one day? the function that models this situation is p(t) = 1(2)t , where t is the number of hours and p(t) is the population of the bacteria after t hours.

determine:

a. the independent and dependent variables

b. answer the question showing your work. (hint: one day = ? hours)

answer: just subtact the units and then add the non negative : happy to

step-by-step explanation:

the answer is (-4,-4)

hope this ! : d

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for