<u>Solution-
</u>
A researcher placed a petri dish with 32,000 bacterial cells. One hour after being placed in the vacuum chamber, the number of cells in the petri dish had halved. Another hour later, the number of cells had again halved.
This can be represented as exponential decreasing function,

Where,
-
a = starting amount = 32000
- r = rate = 50% = 0.5 as the sample becomes halved in each hour
- x = hours
Putting the values,


y-intercept means, where x=0, so

The coordinate of this poin will be (0, 32000)
This means when x=0 or at the starting of the research, the number of bacteria cells was 32000.
After 3 hours, number of bacteria cells will be,



The coordinate of this point will be (3, 4000)
The x-intercept is a point on the x-axis.
y=0 at every point on the x-axis.
-2x + 1/2(0) = 18
-2x = 18
Divide each side by -2 : x = -9
Answer:
C
Step-by-step explanation:
The rate of change here will be the difference in the number of tracks divided by the difference in the number of albums.
Let's pick two random rows (it doesn't matter which two because they will produce the same result): (2, 16) and (4, 32).
The rate of change is: 
The answer is thus C.
The mixed number is 4 5/12.
Answer:
Step-by-step explanation: The student divided the number of wins by the number of losses.
The student should have divided the number of wins by the total number of games.
The student should have first added 20 and 10 to find that there were a total of 30 games.