Section 2.4 Homework Question 25, 2.4.79 HW Score: 36.93%, 9.97 of 27 points Part 1 of 5 O Points: 0 of 1 Save The table lists the force F needed to push a cargo box weighing x pounds on a wood floor. K x (lb) 140 180 220 320 F (lb) 24 31 37 54 (a) Compute the ratio - for each data pair in the table. Interpret these ratios. (b) Approximate a constant of proportionality k satisfying F = kx. (c) Graph the data and the equation together. id' Estimate the force needed to push a 275-pound cargo box on the floor. X (a) The ratio - for each data pair in the table is|]. (Use a comma to separate answers as needed. Type integers or decimals rounded to the nearest thousandth as needed.)Section 2.4 Homework Question 26, 2.4.81-GC HW Score: 36.93%, 9.97 of 27 points O Part 1 of 2 O Points: 0 of 1 Save The table lists the ring size S for a finger with circumference x in centimeters. K x (cm) 4.76 5.59 5.86 6.41 S (size) 4 8 10 a. Find a linear function S that models the data. b. Find the circumference of a finger with a ring size of 6. a. Use linear regression to determine the equation of the line that best fits the data. S(x) ~ (Use integers or decimals for any numbers in the expression. Round to three decimal places as needed.)k: Section 2.4 Homework HW Score: 36.93%, 9.97 of 27 points Save O Points: 0 of 1 st K The greatest integer function | Models Direct variation Linear model |Piecewise-defined function Drag each concept given above into the area beside the appropriate equation. Concept Description A good model describes and explains current data. It should also make predictions and forecast phenomena. If a quantity experiences a constant rate of change, then it can be modeled by a linear function in the form f(x) = mx + b. f(x) = (constant rate of change)x + (initial value) A function is piecewise-defined if it has different formulas on different intervals of its domain. Many times the domain is restricted. f( x ) = 2x - 3 if - 3sx