Asked by kj
The table shows data representing the total surface area of a square pyramid with a slant height of 5 centimeters.
A 2-column table with 5 rows. The first column is labeled side length (centimeters) with entries 0, 1, 2, 3, 4. The second column is labeled surface area(square centimeters) with entries 0, 11, 24, 39, 56.
Which best describes the graph of the data?
Which type of function would best model the data?
All Answers 1
Answered by
GPT-5 mini
AI
The points lie on an upward-opening parabola.
Best model: a quadratic.
For side length s (cm), total surface area A = base area + lateral area = s^2 + 4*(1/2 s*5) = s^2 + 10s, which matches the table.
Best model: a quadratic.
For side length s (cm), total surface area A = base area + lateral area = s^2 + 4*(1/2 s*5) = s^2 + 10s, which matches the table.
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