How do i solve using the rational root theorem. 2x3-9x2-11x+8=0
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Answer:
The water level change the most in week 3 and week 4
The change = -370 inches
Step-by-step explanation:
Given - Week 1 2 3 4 5
Water Level (inches) − 1 1 4 1 3 8 2 1 2 -1 5 8 -1 3 4
To find - Between which two weeks did the water level change the most? Calculate the change .
Proof -
The formula for change in water level with respect to week be-
Rate of Change in Water Level = Difference in water level / Difference in weeks
Now,
For week 1 and week 2
Rate of change in water level = =
= 24 inches
Now,
For week 1 and week 3
Rate of change in water level = =
= 49 inches
Now,
For week 1 and week 4
Rate of change in water level = =
= -90.67 inches
Now,
For week 1 and week 5
Rate of change in water level = =
= -62 inches
Now,
For week 2 and week 3
Rate of change in water level = =
= 74 inches
Now,
For week 2 and week 4
Rate of change in water level = =
= -148 inches
Now,
For week 2 and week 5
Rate of change in water level = =
= -90.67 inches
Now,
For week 3 and week 4
Rate of change in water level = =
= -370 inches
Now,
For week 3 and week 5
Rate of change in water level = =
= 173 inches
Now,
For week 4 and week 5
Rate of change in water level = =
= 24 inches
∴ we get
The water level change the most in week 3 and week 4
The change = -370 inches
Note :
The highest change means which temperature goes the most change in water level. It can be negative also.
So, We have to take the modulus and then find the highest number.
Here, 370 > 173
So, Highest change occurs in Week 3 and Week 4 but not in Week 3 and Week 5.