To determine which graph represents the situation where Kim and Pam are competing against the clock, we first need to calculate how many puzzles Kim can solve and how many targets Pam can hit in the two-minute time frame.
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Kim takes 6 seconds to solve one puzzle. In 2 minutes (120 seconds), the number of puzzles Kim can solve is: \[ \text{Number of puzzles} = \frac{120 \text{ seconds}}{6 \text{ seconds/puzzle}} = 20 \text{ puzzles} \]
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Pam takes 3 seconds to hit one target. In 2 minutes (120 seconds), the number of targets Pam can hit is: \[ \text{Number of targets} = \frac{120 \text{ seconds}}{3 \text{ seconds/target}} = 40 \text{ targets} \]
Now, since they are competing, we can consider a scenario where time is divided between solving puzzles and hitting targets.
If you assume that one axis represents Kim's puzzles solved and the other axis represents Pam's targets hit, the following points could represent possible outcomes within the limits of 20 puzzles for Kim and 40 targets for Pam, depending on how the competition unfolds.
- Graph: You would expect the graph to start at the origin (0,0) and have a maximum point at (20,40) if both Kim and Pam are fully efficient.
- Linear Representation: The paths would show linear trade-offs between the two activities.
To choose the correct graph from options W, X, Y, and Z, you'd look for one that:
- Has a maximum x-value of 20 (for Kim) and a maximum y-value of 40 (for Pam).
- Represents linear combinations of the two activities.
Please look at the provided graphs and choose the one that shows these characteristics. If there are no specific details of the graphs available, the correct choice should graphically represent the described capabilities within the limits of 20 puzzles and 40 targets accordingly.
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