j 1. (04.02 MC) The cost, in dollars, of producing x feet of track lighting is given by the following function: C(x) = (1.0003x3 - 0.002x2 + 0.1x + 2,400 What is the marginal cost, the instantaneous rate of change of the cost function. of 1 50 feet of track lighting? (1 point) 19.65 dollars per foot 19.75 dollars per foot 2,947.6 dollars per foot 3,382.5 dollars per foot D 2. (04.02 LC) The differentiable function, S(t), gives the number of likes on a particular social media post, tminutes after it is uploaded to a particular website. Explain the meaning of S'(3) = 52. (1 point) During the rst three minutes, the post received 52 likes. Over 52 minutes, the post received three likes. Three minutes after a post is uploaded, the number of likes is increasing at a rate of 52 likes per minute. Fifty-two minutes after a post is uploaded, the number of likes is increasing at a rate of three likes per minute. :1 D 3. (04'02MC) The rate at which trash is dumped in a particular landll, in tons per hour, is represented by the following function, where 0 5 ts 8: pa) = 100 - 355in(o.04t2) At what rate is trash being dumped after 6.2 hours have elapsed? (1 point) ) -1'1617tons/hr ) -0.0929tons/hr 34.9807 tons/hr ) 65.0193 ions/hr :] D 4404,02 MC) The volume of a swimming pool being lled with water, in gallons, after t hours is modeled by the following funclion: v(r) = 22,500 - 10,000e'~2' Find the rate at which the volume of water in the pool is increasing after 10 hours. (1 point) ) 270,6706 gal/hr ) 1,353.3528 gal/hr ) 21,146.6472 gal/hr ) 22,770.6706 gal/hr 5. (04.02 MC) For an eight-hour workday, the following function represents the total number of employees that have entered a particular work building, t hours after the workday begins, where 0 s t s 8: W(t) = -0.214 - 8+3 + 99+2 At what rate are employees entering the building five hours after the start of the workday? (1 point) -361.6 employees per hour 290 employees per hour 1,350 employees per hour 1,420.8 employees per hour