Answer all questions please with ABCD format provided.

Answer the following questions. W [1) Identify the type of function represented by the table. 4.5 7.5 quadratic function O neither O linear function10) Solve. The table below shows the data from an experiment in which an object was dropped from a height of 500 feet and had its height and time recorded after every 0.5 seconds. Time in Seconds (@) 0 0.5 1.0 1.5 2.0 2.5 Height in Feet (y) 500 493 481 454 414 364 Based on the data and a quadratic model, what would be the height of the object in 4 seconds? O 107.4 feet 0 feet -62.79 feet 143 feet2) Identify the type of function represented by the table. 18 O quadratic function O linear function O neither3) Identify the type of function represented by the table. 32 128 512 O neither O linear function O quadratic function4) Identify the type of function represented by the table. 33 19 O quadratic function O neither O linear functionSolve the problem using your graphing calculator. Round all parameter values to the nearest hundredth. Complete Steps 1-5 in order. Beatrice used a slingshot to launch an egg into the air. She recorded the egg's path using a motion detector. The following data represents the height (in feet) of the egg at certain time points (in seconds): *{(0.0, 16),(1.7,20.46),(2.5,23.16),(3.7,23.51),(5.1,20.07),(6.6,12.4),(7.3,5.62),(8.0,0.15)} Distance is the dependent variable, and time is the independent variable. [5) Step 1: Choose the function that best represents the data. Of(x) = -5.59x' + 0.93x + 15.17 Of(a) = 0.93x2 - 5.59x - 15.17 Of(2) = -0.93x2 + 20.76 Of(x) = -0.93x' + 5.59r + 15.17[6) Step 2: Determine which pair of quantities best describes the approximate maximum altitude of the egg and the estimated time at which the egg reached the maximum altitude. 23.45 feet at 3 seconds O 23.78 feet at 3.7 seconds 23.45 feet at 3.7 seconds 23.65 feet at 3 seconds 7) Step 3: Determine the approximate time the egg lands on the ground. 0 seconds -2 seconds 16 seconds O 8 seconds[8) Step 4: Determine the height from which the egg was launched. O 16 feet 3 feet 0 feet 8 feet [9) Step 5: Determine the egg's altitude at 15 seconds. O cannot be determined 0 feet -109.80 feet O 15.17 feet