calculus energy. E, expended by I portional to the cube of the speed, v, of th b
ID: 2871170 • Letter: C
Question
calculus energy. E, expended by I portional to the cube of the speed, v, of th be isp of the dolphin. of its thick 31. The energy. E, expe 1. The energy. th cub of the speed, v, of the ies, N, of a certain ortional to the square of l body bod 32. The number of animal species, N length, I, is inversely proportional to t at $40 a day and 15 cents a m Its competitor's cars are $50 a day and 10 cent (a) For each company, give a formula for the ny rents cars or's cars are $50 a day and 10 cents a amile, and 10 cents a mile. s of dollars, is 35. A company rents cars at $40 a day ction of the dis in- in. tal and verti- e car. h of the fol- traveled (b) On the same axes, graph both functions (e) How should you decide which company is cheaper? ng graph. 36. Residents of the town of Maple Grove who are connecto d forgotten a fixed amount monthly plus a charge for each cubic foot of water used. A household using 1000 cubic feet was billed $40, while one using 1600 cubic feet was billed $55. realized I (a) What is the charge per cubic foot? (b) Write an equation for the total cost of a resident's water as a function of cubic feet of water used. (c) How many cubic feet of water used would lead to a bill of $100? time 37. An object is put outside on a cold day at time t temperature, H = f(t), in°C, is graphed in Figure 1.15. (a) What does the statement f (30) = 10 mean 0. of temperature? Include units for 30 and for 10 in terms and for 10 ir time your answer.Explanation / Answer
Let the fixed amount billed be 'a' and the charge per cubic foot be 'b'
a + 1000b = 40
a + 1600b = 55
Solving above equations : a = $15 and b = $0.025
Let cubic feet used = x and Cost be C(x)
=> C(x) = 15 + 0.025x
Cubic feet used for $100 bill = c
=> 100 = 15 + (0.025)(c)
=> c = 3400
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