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Seven years ago, Rishik was seven times as old as his son Vihaan . After three years, Rishik will be three times as old as Vihaan . Represent this situation algebraically and graphically .?
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Seven years ago, Rishik was seven times as old as his son Vihaan . Aft...
Problem Statement: Seven years ago, Rishik was seven times as old as his son Vihaan. After three years, Rishik will be three times as old as Vihaan. Represent this situation algebraically and graphically.
Algebraic Representation:
Let the current age of Rishik be R and the current age of Vihaan be V.
According to the problem statement,
Seven years ago, Rishik was seven times as old as his son Vihaan.
This can be represented as:
R-7 = 7(V-7) (1)
After three years, Rishik will be three times as old as Vihaan.
This can be represented as:
R+3 = 3(V+3) (2)
Graphical Representation:
To represent these equations graphically, we need to first rewrite them in slope-intercept form:
R-7 = 7V-49 => R = 7V-42 (equation 1')
R+3 = 3V+9 => R = 3V+6 (equation 2')
Now, we can plot the two lines on a graph using the slope and y-intercept values:
For equation 1', the slope is 7 and the y-intercept is -42.
For equation 2', the slope is 3 and the y-intercept is 6.
We can then plot these two lines on a graph and find their point of intersection, which will represent the values of R and V that satisfy both equations.
Conclusion: The situation of Rishik's and Vihaan's ages can be represented algebraically using two equations and graphically using two lines on a graph. The point of intersection of these lines represents the values of their ages that satisfy both equations.
Algebraic Representation:
Let the current age of Rishik be R and the current age of Vihaan be V.
According to the problem statement,
Seven years ago, Rishik was seven times as old as his son Vihaan.
This can be represented as:
R-7 = 7(V-7) (1)
After three years, Rishik will be three times as old as Vihaan.
This can be represented as:
R+3 = 3(V+3) (2)
Graphical Representation:
To represent these equations graphically, we need to first rewrite them in slope-intercept form:
R-7 = 7V-49 => R = 7V-42 (equation 1')
R+3 = 3V+9 => R = 3V+6 (equation 2')
Now, we can plot the two lines on a graph using the slope and y-intercept values:
For equation 1', the slope is 7 and the y-intercept is -42.
For equation 2', the slope is 3 and the y-intercept is 6.
We can then plot these two lines on a graph and find their point of intersection, which will represent the values of R and V that satisfy both equations.
Conclusion: The situation of Rishik's and Vihaan's ages can be represented algebraically using two equations and graphically using two lines on a graph. The point of intersection of these lines represents the values of their ages that satisfy both equations.
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Seven years ago, Rishik was seven times as old as his son Vihaan . After three years, Rishik will be three times as old as Vihaan . Represent this situation algebraically and graphically .?
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Seven years ago, Rishik was seven times as old as his son Vihaan . After three years, Rishik will be three times as old as Vihaan . Represent this situation algebraically and graphically .? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Seven years ago, Rishik was seven times as old as his son Vihaan . After three years, Rishik will be three times as old as Vihaan . Represent this situation algebraically and graphically .? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Seven years ago, Rishik was seven times as old as his son Vihaan . After three years, Rishik will be three times as old as Vihaan . Represent this situation algebraically and graphically .?.
Seven years ago, Rishik was seven times as old as his son Vihaan . After three years, Rishik will be three times as old as Vihaan . Represent this situation algebraically and graphically .? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Seven years ago, Rishik was seven times as old as his son Vihaan . After three years, Rishik will be three times as old as Vihaan . Represent this situation algebraically and graphically .? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Seven years ago, Rishik was seven times as old as his son Vihaan . After three years, Rishik will be three times as old as Vihaan . Represent this situation algebraically and graphically .?.
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