Answer:
Step-by-step explanation:
We will need to solve the inequality:
–3x – 4 < 2
Before starting we need to understand 1 rule of inequalities. That is:
We change the inequality sign whenever we multiply or divide by a negative number. That means
< changes to >
and
≥ change to ≤
and vice versa...
Now, let's go ahead and solve the inequality:
"x" is the set of all values that is greater than "-2". So that's the answer.
x > -2
Answer:
a)
b) Approx. 27,569 bacteria
c) About 103 minutes
Step-by-step explanation:
a)
This will follow exponential modelling with form of equation shown below:
Where
A is the initial amount (here, 12000)
b is the growth factor (double, so growth factor is "2")
n is the number of minutes in which it doubles, so n = 50
Substituting, we get our formula:
b)
To get number of bacteria after 1 hour, we have to plug in the time into "t" of the formula we wrote earlier.
Remember, t is in minutes, so
1 hour = 60 minutes
t = 60
Substituting, we get:
The number of bacteria after 1 hour would approximate be <u>27,569 bacteria</u>
<u></u>
c)
To get TIME to go to 50,000 bacteria, we will substitute 50,000 into "y" of the equation and solve the equation using natural logarithms to get t. Shown below:
After about 103 minutes, there will be 50,000 bacteria