Here are the types of functions that best model each scenario:
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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).
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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).
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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).
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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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