Which graph could Catherine use to solve the equation 4x=30
?
CLEAR CHECK
A) A graph of a straight line and a curve. There is a horizontal line at y = 30. The curve approaches 0 as x heads to negative infinity. The curve goes through the points (0, 4) and (2, 16). It intersects the line at about x = 2.5
B) A graph of 2 lines. One is a horizontal line at y = 30. The other is a line that slopes up from left to right. It goes through the points (0, 0) and (2, 20). This line intersects the horizontal line at (3, 30).
C) A graph of a straight line and a curve. There is a vertical line at x = 30. The curve approaches 0 as x heads to negative infinity. The curve goes through points near (0, 4) and (2.5, 50). The curve does not intersect the line.
D) A graph of 2 lines. One is a vertical line at x = 30. The other is a line that slopes up from left to right. It goes through the points (0, 0) and (20, 20). This line intersects the vertical line at (30, 30).
The correct answer is D) A graph of 2 lines. One is a vertical line at x = 30. The other is a line that slopes up from left to right. It goes through the points (0, 0) and (20, 20). This line intersects the vertical line at (30, 30).
This is because the equation 4x=30 is a linear equation, and a linear equation can be represented by a straight line on a graph. The graph in option D) includes a line that represents the equation 4x=30 and intersects the vertical line at (30, 30), which satisfies the equation.