Activity 2: It's Combined Variation! Find The Constant Of Var…
Activity 2: It’s Combined Variation! Find the constant of variation and solve the following: 1. If q varies jointly as r and s, and q = 40 when r = 2 and s = 5, find a when r = 7 and s = 9. – 2. The area of triangle varies jointly as the base and the height. A triangle with a base of 10 cm and a height of 12 cm has an area of 36 square centimeters. Find the area when the base is 20 cm and the height is 15 cm. 3. The amount of gasoline used by a car varies jointly as the distance travelled and the square root of the speed. Suppose a car used 30 liters on a 80 kilometer trip at 121km/hr. About how many liters will it use on a 100 kilometer trip at 64 km/hr?
1. q = krs = 40 = k(2)(5) ; k = 4
q = krs = 4(7)(9) = 252
2. A = kbh = k(10)(12) = 36 ; k = 3/10
A = kbh = (3/10)(20)(15) = 90
3. g = kd√s = 30 = k(80)(√121) ; k = 3/88
g = kd√s = (3/88)(100)(√64) = 300/11
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