Solving Math Equations: Module 4
A company's costs, in millions of dollars, are given by the equation, C = x2 3x 27, where x is the number of items sold, in thousands. What are the costs when 1,000 items are sold? 1,500 items? (Hint: If the number of items sold is 1000, then x=1.
C = 12 3(1) 27 C = 1.52  3(1.5)  27
= 1 3 27 = 2.25 4.5  27
C = 29 C = 29.25
$29 million $29,250,000
A company's costs, in millions of dollars, are given by the equation, C = x2 3x 27, where x is the number of items sold, in thousands. How many items must be sold for the costs to be zero?
0 = x2 3x 27
3 Â± (3)2 4(1 x 27) / 2(1)
3 Â± 9+108 / 2
3 Â± 117 / 2
6.9
Approximately 6,900 items
An object's height, in meters, when thrown vertically from the ground at a velocity of 80 m/s is given by the equation H = 4.9t2 + 80t. Ignoring wind resistance, what is the height of the ball after 2 seconds? 3 seconds? 10 seconds?
H = 4.9(2)2 + 80(2) H = 4.9(3)2 + 80(3) H = 4.9(10)2 + 80(10)
4.9(4) + 160 4.9(9) + 240 4.9(100) + 800
19.6 + 160 44.1 + 240 490 + 800
140.4 meters 195.9 meters 310 meters
An object's height, in meters, when thrown vertically from the ground at a velocity of 80 m/s is given by the equation H = 4.9t2 + 80t. Ignoring wind resistance, how many seconds will it take the object to return to the ground? In other words, when is H = 0?
0 = 4.9t2 + 80t
0 = 4.9t + 80
80 = 4.9t t = 16.326 seconds
The distance d traveled by an object…

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