Question 4 . 4) A ball is rolled toward the wall at a constant speed, bounces off of the wall and returns to the person who rolled theball. The equation d = -2(t-4)³ + k gives the distance, d in feet, the ball is from the person who rolled it t secondsafter first being rolled with an initial distance of k feet from the wall. Which equation, when solved for t gives the timeit takes a ball to roll from an original distance of k feet to its current distance from the wall, d feet?(A) t = 4 +(B) t = 4+√-2(d-k)5) Pediatric doctors measure the length of children between birth and 36 months of age. The length of the average boy(50th percentile) at x years of age is modeled by the equation: L = 7.5x¹/2 + 50, where length is measured incentimeters and age is measured in months. Which equation is the equation for x which would give the predicted agefor a child L centimeters in length?(A) x = (0.133L - 50)²(B) x = (0.133L - 6.67)²(C) x = (L-6.67)²(D) x = (L-50)²6) A glass of water is placed into a freezer to cool. The time, in t minutes, that it takes for the water to reach atemperature of T degrees Fahrenheit after being placed in a 20-dep freezer is given by the equationt = ln(T-20)-C, where C is the initial temperature of the water. Which equation below, when solved for T, wouldgive the temperature of the water if the initial temperature of the water and the time it has been in the freezer isknown?d-k-2x =22w-21(A) Tet+C + 20(B) T =t-CIn(20)(C) Tet+C - 207) The population of a given city is modeled by the equation y = 213ex/66.7, where y is the population of that city xyears after the present year, measured in thousands of people. Solve the equation above for x.(A) x = In (667)(B) x = 66.7 In (23)(C) x = 66.7 log()(C) x =(C) t = 4 +w-2130-8d-k(D) x(D) T =8) The number of gallons of water in a tank, W, after t minutes is given by the equation W = 21 + 30Which of thefollowing equations, when solved for x, would give the time it takes for the tank to have W gallons of water?8+x(B) x = 30(w-21)-830w-219) A vase in the shape of a right circular cone is being filled with water. The volume of water inthe vase is based on how deep the water in the vase is filled to as shown in the graph below.The formula for the volume of the vase for any depth, x, is given by V = r³.(D) t =Create the equation, when solved for r that would give the radius of the water's surface levelwith a given volume of water in the vase.In(20)t-Cd-k8(66.7y(D) x = log (5213)+4Volume (cubic cm)depth (cm)

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4) A ball is rolled toward the wall at a constant speed, bounces off of the wall and returns to the person who rolled the ball. The equation d = -2(t-4)³ + k gives the distance, d in feet, the ball is from the person who rolled it t seconds after first being rolled with an initial distance of k feet from the wall. Which equation, when solved for t gives the time it takes a ball to roll from an original distance of k feet to its current distance from the wall, d feet? (A) t = 4 + d-k -2 (B) t = 4+√-2(d-k) (C) t = 4 + 3d-k 2 3 (D) t = ³√d=k+ 4