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
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
Solution
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.
\\(\boxed{\text{A}}\\)