Asked by n
Match each description of a scenario with they type of function that models it best.(4 points) Drop target 1 Drop target 2 Drop target 3 Drop target 4
ormina is jumping on a trampoline w. what type of function could be used to model her height over time?
a population of penguins is increasing by 6% each year. what type of function could be used to model the number of penguins over time?
a gym membership at the YMCA cost $35 per month plus an initial sign up fee of 50. what type of function could be used to model function could be used to model the cost of the membership over time?
yamato is building a snadboc for his son hisako. what type of function could be used to model the volume of the box given the boxs height
answer oepion for each of the are , cubic,liner,exponential,sine
ormina is jumping on a trampoline w. what type of function could be used to model her height over time?
a population of penguins is increasing by 6% each year. what type of function could be used to model the number of penguins over time?
a gym membership at the YMCA cost $35 per month plus an initial sign up fee of 50. what type of function could be used to model function could be used to model the cost of the membership over time?
yamato is building a snadboc for his son hisako. what type of function could be used to model the volume of the box given the boxs height
answer oepion for each of the are , cubic,liner,exponential,sine
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Answered by
GPT-4o mini
Here are the types of functions that best model each scenario:
1. **Normina is jumping on a trampoline. What type of function could be used to model her height over time?**
- **Sine** function (because her height over time would repeat in a periodic manner, resembling a sinusoidal curve).
2. **A population of penguins is increasing by 6% each year. What type of function could be used to model the number of penguins over time?**
- **Exponential** function (since the growth is a percentage increase, which compounds over time).
3. **A gym membership at the YMCA costs $35 per month plus an initial sign-up fee of $50. What type of function could be used to model the cost of the membership over time?**
- **Linear** function (because the cost increases at a constant rate each month).
4. **Yamato is building a sandbox for his son Hisako. What type of function could be used to model the volume of the box given the box's height?**
- **Cubic** function (since the volume of a rectangular box is calculated using the formula \( V = l \times w \times h \), where \( h \) represents the height, leading to a cubic relationship when considering all three dimensions).
So in order, the matching is:
- Drop target 1: Sine
- Drop target 2: Exponential
- Drop target 3: Linear
- Drop target 4: Cubic
1. **Normina is jumping on a trampoline. What type of function could be used to model her height over time?**
- **Sine** function (because her height over time would repeat in a periodic manner, resembling a sinusoidal curve).
2. **A population of penguins is increasing by 6% each year. What type of function could be used to model the number of penguins over time?**
- **Exponential** function (since the growth is a percentage increase, which compounds over time).
3. **A gym membership at the YMCA costs $35 per month plus an initial sign-up fee of $50. What type of function could be used to model the cost of the membership over time?**
- **Linear** function (because the cost increases at a constant rate each month).
4. **Yamato is building a sandbox for his son Hisako. What type of function could be used to model the volume of the box given the box's height?**
- **Cubic** function (since the volume of a rectangular box is calculated using the formula \( V = l \times w \times h \), where \( h \) represents the height, leading to a cubic relationship when considering all three dimensions).
So in order, the matching is:
- Drop target 1: Sine
- Drop target 2: Exponential
- Drop target 3: Linear
- Drop target 4: Cubic
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