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Edge Length Surface Area (cm) (m²) 15 0.135 30 0.540 45 1.215 60 2.160 75 90 3.375 4.860 a) Calculate the finite difference. Does a linear or a quadratic model best fit the data? b) Is the rate of change of surface area with respect to edge length increasing, constant, or decreasing? Explain. c) Use technology (desmos) to determine an equation that models the data d) Use your equation from part c) to determine the surface area of a cube with an edge length of 105 cm

Edge Length Surface Area (cm) (m²) 15 0.135 30 0.540 45 1.215 60 2.160 75 90 3.375 4.860 a) Calculate the finite difference. Does a linear or a quadratic model best fit the data? b) Is the rate of change of surface area with respect to edge length increasing, constant, or decreasing? Explain. c) Use technology (desmos) to determine an equation that models the data d) Use your equation from part c) to determine the surface area of a cube with an edge length of 105 cm

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Edge Length Surface Area (cm) (m²) 15 0.135 30 0.540 45 1.215 60 2.160 75 90 3.375 4.860 a) Calculate the finite difference. Does a linear or a quadratic model best fit the data? b) Is the rate of change of surface area with respect to edge length increasing, constant, or decreasing? Explain. c) Use technology (desmos) to determine an equation that models the data d) Use your equation from part c) to determine the surface area of a cube with an edge length of 105 cm
Transcribed Image Text:Edge Length Surface Area (cm) (m²) 15 0.135 30 0.540 45 1.215 60 2.160 75 90 3.375 4.860 a) Calculate the finite difference. Does a linear or a quadratic model best fit the data? b) Is the rate of change of surface area with respect to edge length increasing, constant, or decreasing? Explain. c) Use technology (desmos) to determine an equation that models the data d) Use your equation from part c) to determine the surface area of a cube with an edge length of 105 cm
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