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The equation ( y = 13x ) does represent a proportional relationship between ( x ) and ( y ). In this equation, ( y ) is directly proportional to ( x ) with a constant of proportionality equal to 13. This means that if ( x ) increases or decreases, ( y ) will change by the same factor, maintaining a constant ratio of ( \frac{y}{x} = 13 ).
What else can I help you with?
Which equation can be used to show the relationship between the circumference C and the diameter d of a circle?
The relationship between the circumference ( C ) and the diameter ( d ) of a circle is expressed by the equation ( C = \pi d ), where ( \pi ) (approximately 3.14159) is a constant that represents the ratio of the circumference to the diameter of any circle. This equation indicates that the circumference is directly proportional to the diameter, with ( \pi ) as the proportionality constant.
How are using graphs equations and tables similar when distinguishing between proportional and nonproportional linear relationships?
Graphs, equations, and tables all provide ways to represent linear relationships, and they can be used to determine if a relationship is proportional or nonproportional. In a proportional relationship, the graph will show a straight line passing through the origin, the equation will have the form (y = kx) (where (k) is a constant), and the table will exhibit a constant ratio between (y) and (x). Conversely, a nonproportional relationship will show a line that does not pass through the origin, have an equation in a different form (like (y = mx + b) with (b \neq 0)), and display varying ratios in the table.
How does a graph show a proportional relationship?
A graph shows a proportional relationship when it displays a straight line that passes through the origin (0,0). This indicates that as one variable increases or decreases, the other variable does so at a constant rate. The slope of the line represents the constant ratio between the two variables, confirming their proportionality. If the line is not straight or does not pass through the origin, the relationship is not proportional.
How can you use a table to determine if there is a proportional relationship between two quantities?
To determine if there is a proportional relationship between two quantities using a table, you can check if the ratio of the two quantities remains constant across all entries. Specifically, divide each value of one quantity by the corresponding value of the other quantity for each row; if all ratios are the same, the relationship is proportional. Additionally, the table should show that when one quantity is multiplied by a constant, the other quantity increases by the same factor. If these conditions are met, the two quantities are proportional.
Used to show the relationship between two variables?
Line graph is used to show relationship between two variables.
What is an equation to show the relationship between the kelvin and Celsius's scales?
The relationship between the Kelvin and Celsius scales is given by the equation: [Kelvin = Celsius + 273.15] This equation shows how to convert temperature values between the two scales.
A representation of a chemical reaction that uses symbols to show the relationship between the reactants and the products.?
This representation is a chemical equation.
What mathematical equation can be used to show the relationship between distance and intensity?
Speed = Distance/Time
What type of relationship does increased distance and decrease gravity show?
Inversely proportional
What relationship does increased distance and decreased gravity show?
inversely proportional
What type of relationship does increased distance and gravity show?
Inversely proportional
How can you show that two objects are proportional with an equation?
You can use a plot diagram to plot the points and if they all go straight through the origin then it is proportional
What type of relationship does increased distance and deceased gravity show?
inversely proportional
What type relationship does increased distance and decrease gravity show?
inversely proportional
How does a graph show a proportional relationship?
A graph shows a proportional relationship when it displays a straight line that passes through the origin (0,0). This indicates that as one variable increases or decreases, the other variable does so at a constant rate. The slope of the line represents the constant ratio between the two variables, confirming their proportionality. If the line is not straight or does not pass through the origin, the relationship is not proportional.
What does an equation show?
it means the lataduide line
What is the equation that show the relationship between coordinates of points on a line called?
It is a straight line equation in the form of y = mx+c whereas m is the slope and c is the y intercept
