Which situation could be modeled by a function with a domain of all positive integers?A. The distance a runner has moved during arace as a function of time since the racehas startedB. The amount of fish food required in a fishtank as a function of the number of fish inthe tankC. The amount of power required to operatea computer as a function of the length oftime the computer is onD. The amount of water required by ananimal as a function of the mass of theanimalProblem 14: Which situation could be modeled by a function with a domain that includes positive and negative real numbers?A. The height of a plant as a function of timesince the seed was plantedB. The elevation of a hiker as a function ofthe number of steps takenC. The amount of time required to read abook as a function of the number ofwords in the bookD. The amount of precipitation as a functionof the outdoor temperature

Question

Which situation could be modeled by  a function with a domain of all positive integers?A.  The distance a runner has moved during arace as a function of time since the racehas startedB.  The amount of fish food required in a fishtank as a function of the number of fish inthe tankC.  The amount of power required to operatea computer as a function of the length oftime the computer is onD.  The amount of water required by ananimal as a function of the mass of theanimalProblem 14: Which situation could be modeled by a function with a domain that includes positive and negative real numbers?A.  The height of a plant as a function of timesince the seed was plantedB.  The elevation of a hiker as a function ofthe number of steps takenC.  The amount of time required to read abook as a function of the number ofwords in the bookD.  The amount of precipitation as a functionof the outdoor temperature

GPT-4o mini · Answer

Let's analyze both problems: **Problem 13:** Which situation could be modeled by a function with a domain of all positive integers? A. The distance a runner has moved during a race as a function of time since the race has started: This typically involves continuous time, not just positive integers. B. The amount of fish food required in a fish tank as a function of the number of fish in the tank: The number of fish can only be a whole number (positive integer), making this option valid. C. The amount of power required to operate a computer as a function of the length of time the computer is on: Time can be measured continuously, not just as positive integers. D. The amount of water required by an animal as a function of the mass of the animal: Mass can take on continuous values, not just positive integers. **Answer for Problem 13:** **B. The amount of fish food required in a fish tank as a function of the number of fish in the tank.** --- **Problem 14:** Which situation could be modeled by a function with a domain that includes positive and negative real numbers? A. The height of a plant as a function of time since the seed was planted: This would be a positive value since height cannot be negative. B. The elevation of a hiker as a function of the number of steps taken: Elevation can be above or below sea level, which could result in both positive and negative values, so this option is valid. C. The amount of time required to read a book as a function of the number of words in the book: Time cannot be negative, so this doesn't fit. D. The amount of precipitation as a function of the outdoor temperature: Precipitation can be described in terms of a range of temperatures, but the relationship is generally modeled with temperatures being in both positive and negative values (e.g., Celsius or Fahrenheit). **Answer for Problem 14:** **B. The elevation of a hiker as a function of the number of steps taken.** (Though option D could also be considered valid depending on how one interprets temperature values.) If only one answer is needed, B is more directly fitting.