Scientists are studying a bacteria sample. The function
f(x)=245(1.12)* gives the number of bacteria in the sample at
the end of x days.
Which statement is the best interpretation of one of the values in
this function?
• The initial number of bacteria is 12.
The number of bacteria at the end of one day is 245.
The initial number of bacteria decreases at a rate of
88% each day.
The number of bacteria increases at a rate of 12% each
day.

The number of bacteria increases at a rate of 12% each

day.

Step-by-step explanation:

-This is an exponential growth/decay function of the form:

Where

-Given that b>1, this is a growth function and the population increases by 12% for each unit time elapsed.

-Hence, the correct statement is the number of bacteria increases at a rate of 12% each day.

f

step-by-step explanation:

f

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.