Answer:
The inequality which represents the graph is y ≤ -2x + 1 ⇒ A
Step-by-step explanation:
To solve the question you must know some facts about inequalities
- If the sign of inequality is ≥ or ≤, then it represents graphically by a solid line
- If the sign of inequality is > or <, then it represents graphically by a dashed line
- If the sign of inequality is > or ≥, then the area of the solutions should be over the line
- If the sign of inequality is < or ≤, then the area of the solutions should be below the line
Let us study the graph and find the correct answer
∵ The line represented the inequality is solid
∴ The sign of inequality is ≥ or ≤
→ That means the answer is A or B
∵ The shaded area is the area of the solutions of the inequality
∵ The shaded area is below the line
∴ The sign of inequality must be ≤
→ That means the correct answer is A
∴ The inequality which represents the graph is y ≤ -2x + 1
Answer:
After 16 hours bacterial count will be 11600.
Step-by-step explanation:
Bacterial growth is always an exponential growth in a given culture.So the formula for the growth will be
Final counts of bacteria = Initial counts × 
Given from first part Initial counts = 5000
Final counts= 6500 and time of growth = 5 hours
Then we will get the value of rate of growth of bacteria from the bacteria
⇒ 6500 = 5000×
![Rate = \sqrt[5]{1.3} = 1.05](https://tex.z-dn.net/?f=Rate%20%3D%20%5Csqrt%5B5%5D%7B1.3%7D%20%3D%201.05)
Now again to get the value of bacteria after 16 hours
Final Count = 5000×
= 5000×2.32
= 11600
