Final answer:
In High School Mathematics, we explored how to predict swimming distances based on a pattern, reviewed weight conversions to determine lift capacity, and discussed the relationship between swimming times and heart rates, all within algebraic and problem-solving contexts.
Step-by-step explanation:
The subjects ranging from the consideration of swimming laps and time functions, the measurement conversions linked to swimming distances, to the understanding of how heart rate corresponds with swimming times, all fall under the category of Mathematics. Specifically, these topics deal with the manipulation and understanding of units, rates, and functions within the realm of algebra and problem-solving that generally align with what a high school student might encounter in a mathematics curriculum.
Example of Converting Measurements
To join the swim team, Jessica swam every day. The patterns of the distances she swam converted to kilometers for the first four days were: 1.65 km, 1.75 km, 1.85 km, and 1.95 km. Observing this pattern, we can predict that on the fifth day, Jessica would swim a distance that is 0.1 km more than the previous day, which would be 2.05 km.
Example of Evaluating the Ability to Lift Objects
Mrs. Roth can lift exactly 22.5 kg. When we convert the weights of the objects into kilograms, we find that she can lift the potted plant which weighs 22.55 kg, since 22,500 g is equivalent to 22.5 kg, and 2,450,000 cg is 24.5 kg which is beyond her lifting capacity. Similarly, 2,550,000 mg is 2.55 kg, which is well within her ability to lift. Therefore, only the potted plant is marginally over the weight Mrs. Roth can lift, but since the difference is minimal, it might be considered feasible depending on the context.