Drag each tile to the correct box.
A scientist is studying the growth rates of three samples of bacteria in different conditions. The following three functions represent the
number of bacteria in the three samples after x hours.
Sample A
Sample B
Sample C
g(x)
60
120
f(t) = 200(2)
1
WN - 0x
1
Sample C starts
with 600 bacteria and
increases at a
rate of 20%.
240
480
Order the samples by their average growth rate over the interval [1, 3), from least to greatest.
Sample B
Sample A
Sample C

answer: the correct answer is -32

step-by-step explanation:

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week