Drawing a conclusion from the graph, the true statement from the option given is <em>Voter turnout in national election years is irregular from 2006 to </em><em>2020</em><em>.</em><em> </em>
Voter turnout in 2006 was 40% while in 2014 it was 35% `; hence, voters were more interested in 2006 than in 2014.
In some of the years given, less than 50% of Americans participated in the polls.
Hence, the true statement is <em>"</em><em>Voter turnout in national election years is irregular from 2006 to </em><em>2020</em><em>"</em><em> </em>
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By rewriting the equation from step 1 substituting the value of k into it, the value of x is 22.5
A direct variation is a type of variation that has two types of variables in which a variable can be expressed in terms of the other with its constant.
For example;
If x varies directly as y
<h3>Step 1:</h3>
Then
- x
y - x = ky ; where k is constant
<h3>Step 2:</h3>
The original question says:
- if x varies directly as y, and x = 9 when y = 6, find x when y = 15
∴
x = ky
9 = k × (6)
k = 9/6
k = 1.5
<h3>Step 3:</h3>
Now, we can rewrite the equation from step 1 substituting the value of k into it:
∴
x = ky
The value of (x) will be:
x = 1.5 (15)
x = 22.5
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The rate at which the height of the water in this cylindrical tank is increasing is 26.18 m/mn.
<h3>How to calculate the volume of a cylinder?</h3>
Mathematically, the volume of a cylindrical tank can be calculated by using this formula:
V = πr²h
Where:
Differentiating with respect to h, we have:
dV/dt = πr²(dh/dt)
3 = 3.142 × 5² × dh/dt
3 = 78.55dh/dt
dh/dt = 78.55/3
dh/dt = 26.18 m/mn.
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Down the side of the barn roof
