Answer:
4 feet
Step-by-step explanation:
It is given that:
• At 2:30 p.m., the water depth was 2.6 feet.
• It is now 5:00 p.m., and the depth of the water is 3.6 feet.
So in 2.5 hours ( 5pm - 2:30pm) the water rose 1 feet (3.6 - 2.6).
Now <em><u>we can find how much water rises in 1 hour by setting up a ratio (let x be the depth increase of water in 1 hr):</u></em>
So, in 1 hour, the water level will rise 0.4 feet
So, at 6pm (1 hour from 5 pm) it will rise to 3.6 + 0.4 = 4 feet
The volume of the prism, in cubic units is V = 1/2*x³ + x²
The figure and options are in the figure attached
<h3>What is an Oblique Prism ?</h3>An oblique prism is a polyhedron figure , with a rectangular base and triangular side faces .
It is given that
The oblique prism below has an isosceles right triangle base.
In the figure attached, the oblique prism is shown.
The volume of the prism is given by
V = b*h
h is the height and b is the Area of the base
It is given that the base is an isosceles right triangle, its area is:
Area of a Triangle = (1/2) base * height
here the base and height is x
b = 1/2*x²
The height of the prism is (x + 2).
Then, the volume is:
V = 1/2*x²*(x + 2)
V = 1/2*x³ + x² cu. units
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The percentage rate of increase is 36.2% and the exponential function represent the growth.
<h3>What is an exponential function?</h3>It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent
where 'a' is a constant and a>1
We have exponential function:
If we compare with
If 1+r > 1
1.362 > 1
So the growth rate r is
1 + r = 1.362
r = 0.362
r = 0.362×100
r = 36.2%
Thus, the percentage rate of increase is 36.2% and the exponential function represent the growth.
Learn more about the exponential function here:
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