Answer: B. y=5x
We know that the rate of change which is also known as the constant of proportionality () which is the constant ratio between two proportional quantities .
Let's find constant of proportionality in all of the given options:
Thus, in B the constant of proportionality is 5.
Let the position of point N (0,0)
As we know in a graph, a graph consist of horizontal and vertical lines.
The horizontal line, known as x axis, consist of negative numbers on the left side of number line and positive numbers on right side of number line separated by 0.
Similarly, the vertical line , also know as y axis consist of negative numbers on the below side of number line and positive numbers on above side of number line separated by 0.
If we translate point N 6 units to left from origin, then the x coordinate is -6
Similarly, if we translate 5 units to down, than y coordinate is -5
Hence, the coordinates are (-6,-5)
The solution is 17 chairs
The number of chairs placed is 17 and the inequality equation is 2x < 35 , where x is the number of chairs
What is an Inequality Equation?
Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the number of chairs be represented as x
Now , the inequality equation will be
Each chair installed in the new chapel requires 24 inches of clearance
So , 24 inches = 2 feet
And , each row cannot be greater than 35 feet
So , the number of 2 feet chairs = 2x
And , 2x cannot be greater than 35 feet
Substituting the values in the equation , we get
2x < 35 be equation (1)
Divide both sides of the equation by 2 , we get
x < 17.5
x < 17 chairs
Therefore , the value of x is 17 chairs
Hence , the number of chairs is 17 chairs
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The radius of the penny is 9.54 millimeters.
The circumference means the length of the literal line that surrounds and forms a circle.
The formula for the circumference of the circle is given by
r is the radius
and π = 3.14
A radius is a straight line from the center of a circle to the circumference of a circle.
According to the given question.
We have a penny whose circumference is 59.69 millimeters.
Let r be the radius of the penny and 2πr be the circumference of the penny.
Since we know that, the shape of the penny is circular.
The radius, r of the penny is given by
Hence, the radius of the penny is 9.54 millimeters.
Find out more information about radius and circumference of the circle here: