Ester and Robert calculated slope for different sets of data. Ester found an equation as 3y=x for the given table and Robert calculated slope =2 for the given graph.
x
1.5
3.5
7
y
4.5
10.5
\21
Choose the correct statement.
Open in App
Solution
Detailed step-by-step solution:
Finding the equation for the table:
Let the equation of the table be y=mx.
Substituting x=1.5 and y=4.5 in y=mx, we get: 4.5=15m ⇒m=4.51.5 ⇒m=3
Substituting the value of m in y=mx, we get the equation of the table. y=3x
Ester is incorrect in finding the equation.
Calculating the slope of the graph:
Let’s consider two points (4,8) and (2,4) on the graph: Slope=RiseRun Change in yChange in x =8−44−2 =42 =2
Robert is correct in calculating the slope.
Hence, Robert is correct and Ester is incorrect.
Option D is correct.