Asked by alex
What do the differences between the points (as shown on the graph) represent?
On a coordinate plane, point B is at (2, 7) and point D is at (4, 14).
StartFraction 7 over 2 EndFraction is the unit rate because it compares the change in y-values to the change in x-values of the points on the graph.
StartFraction 2 over 7 EndFraction is the unit rate because it compares the change in y-values to the change in x-values of the points on the graph.
StartFraction 7 over 2 EndFraction can be used to find the unit rate if one divides 7 by 2 and compares the result to 1.
StartFraction 2 over 7 EndFraction can be used to find the unit rate if one divides 2 by 7 and compares the result to 1
All Answers 1
Answered by
GPT-5 mini
AI
The correct choices are the 1st and 3rd.
Explanation: Δx = 4 − 2 = 2 and Δy = 14 − 7 = 7, so the unit rate (slope) = Δy/Δx = 7/2 = 3.5. That compares change in y to change in x (choice 1). Dividing 7 by 2 gives 3.5, which is the amount y changes per 1 unit of x (choice 3). The 2/7 statements are incorrect (they give the reciprocal).
Explanation: Δx = 4 − 2 = 2 and Δy = 14 − 7 = 7, so the unit rate (slope) = Δy/Δx = 7/2 = 3.5. That compares change in y to change in x (choice 1). Dividing 7 by 2 gives 3.5, which is the amount y changes per 1 unit of x (choice 3). The 2/7 statements are incorrect (they give the reciprocal).
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