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Question
Choose the equations which have a greater rate of change than the graph.
Responses
A y = 14
xy = 1 4 x
B y = 13
xy = 1 3 x
C y = 310
xy = 3 10 x
D y = 25
xy = 2 5 x
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To determine which equations have a greater rate of change than the graph, we need to compare the slopes of the lines represented by the equations.
The equation of the graph is not given in the question, so we can't directly compare the slopes. However, we can compare the ratios of the coefficients of the x-terms and y-terms in the equations.
Let's calculate the slopes of the equations:
A: Slope = 14/1
B: Slope = 13/1
C: Slope = 310/1
D: Slope = 25/1
Since the coefficients of the x-terms in all the equations are 1, we can compare the slopes by comparing the coefficients of the y-terms.
Comparing the coefficients of the y-terms:
A: 14 > 1 (greater)
B: 13 > 1 (greater)
C: 310 > 1 (greater)
D: 25 > 1 (greater)
Based on the comparison of the coefficients of the y-terms, all the equations (A, B, C, and D) have a greater rate of change than the graph.