The table A is the correct option.
Further explanation:
The linear equation with slope m and y-intercept c is given as follows.
[tex]\boxed{y = mx + c}[/tex]
Explanation:
Plot the points [tex]\left( {1,\dfrac{1}{2}}\right),\left( {2,1} \right),\left( {3,1\dfrac{1}{2}} \right)[/tex] and [tex]\left( {4,2} \right)[/tex] from the table 1
The graph of table 1 shows the linear function.
Plot the points [tex]\left( {1,1} \right),\left( {2,\dfrac{1}{2}} \right),\left( {3,\dfrac{1}{3}} \right)[/tex] and [tex]\left( {4,2} \right)[/tex] from the table 2.
The graph of table 2 shows that the function is not linear.
Plot the points [tex]\left( {1,7} \right), \left( {2,9} \right), \left( {3,13} \right)[/tex] and [tex]\left( {4,21} \right)[/tex] from the table 3.
The graph of table 3 shows that the function is not linear.
Plot the points [tex]\left( {1,0} \right), \left( {2,6} \right), \left( {3,16} \right)[/tex] and [tex]\left( {4,30} \right)[/tex] from the table 3.
The graph of table 3 shows that the function is not linear.
The table A is the correct option.
Kindly refer to the tables and the graph attached.
Learn more:
1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function https://brainly.com/question/3412497
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Linear equation
Keywords: numbers, slope, slope intercept, equation, linear equation, shaded region, y-intercept, graph, representation, origin, linear function.
