Compare the table and equation.
x y
2 10
3 15
4 20
Equation: y = 4.5x
Which representation has the greatest slope? (4 points)
A,. The equation has the greatest slope.
B,. The table has the greatest slope.
C. The table and equation have the same slope.
D. Their slopes cannot be determined.
The equation y = 4.5x represents a linear relationship, where the coefficient of x (4.5) is the slope. In this case, the equation has a slope of 4.5.
Looking at the table, we can calculate the slope by finding the difference in y-coordinates divided by the difference in x-coordinates.
For the given table, when x changes from 2 to 3, y changes from 10 to 15, which is a difference of 5. When x changes from 3 to 4, y changes from 15 to 20, which is another difference of 5.
So, the slope of the table is also 5/1 = 5.
Therefore, the equation and table have different slopes.
The correct answer is:
B. The table has the greatest slope.