Questions: Which situation is most likely to have a constant rate of change? A. Length of a bead necklace compared with the number of identical beads B. Distance a school bus travels compared with the number of stops C. Number of trees in a park compared with the area of the park D. Number of runs scored in a baseball game compared with the number of innings

Which situation is most likely to have a constant rate of change?
A. Length of a bead necklace compared with the number of identical beads
B. Distance a school bus travels compared with the number of stops
C. Number of trees in a park compared with the area of the park
D. Number of runs scored in a baseball game compared with the number of innings
Transcript text: Which situation is most likely to have a constant rate of change? A. Length of a bead necklace compared with the number of identical beads B. Distance a school bus travels compared with the number of stops C. Number of trees in a park compared with the area of the park D. Number of runs scored in a baseball game compared with the number of innings
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Solution

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Solution Steps

Step 1: Analyze Option A

Option A states: "Length of a bead necklace compared with the number of identical beads."
If each bead is identical, the length of the necklace will increase by a constant amount with each bead added. This implies a constant rate of change.

Step 2: Analyze Option B

Option B states: "Distance a school bus travels compared with the number of stops."
The distance traveled by a school bus depends on the route and the spacing between stops. This is unlikely to have a constant rate of change because the distance between stops may vary.

Step 3: Analyze Option C

Option C states: "Number of trees in a park compared with the area of the park."
The number of trees in a park does not necessarily increase at a constant rate with the area of the park. Factors like tree density and park design can cause variability.

Final Answer

The situation most likely to have a constant rate of change is A.
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