Solve the problem.A faucet is used to add water to a large bottle that already contained some water. After it has been filling for 5 seconds, the gauge on the bottle indicates that it contains 28 ounces of water. After it has been filling for 12 seconds, the gauge indicates the bottle contains 63 ounces of water. Let w be the amount of water in the bottle t seconds after the faucet was turned on. Write a linear equation that models the amount of water in the bottle in terms of x.
A. w = 
t + 27
B. w = 5t + 3
C. w = -5t + 53
D. w = 5t + 51
Answer: B
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Use the power-reducing identities to rewrite the expression that does not contain trigonometric functions of power greater than 1.sin x (2 cos2 x - 1)
A. sinx cos 2x B. sin 2x C. cos 2x D. cos x sin 2x
Solve the problem.A ball is thrown directly upward from the top of a building that is 128 feet high. The height of the ball after t seconds is given by the trinomial 
feet. Write this polynomial in factored form.
A. 16(t2 + 2t + 4) B. -16(t + 2)(t - 4) C. -16(t2 + 2t + 4) D. 16(t - 2)(t + 4)
Factor completely.x3 + 6x2 - 8x - 48
A. (x3 - 8x)(x + 6) B. (x2 + 6)(x - 8) C. (x2 - 8)(x - 6) D. (x2 - 8)(x + 6)
Solve the problem.An artist is creating a mosaic that cannot be larger than the space allotted which is 4 feet tall and 6 feet wide. The mosaic must be at least 3 feet tall and 5 feet wide. The tiles in the mosaic have words written on them and the artist wants the words to all be horizontal in the final mosaic. The word tiles come in two sizes: The smaller tiles are 4 inches tall and 4 inches wide, while the large tiles are 6 inches tall and 12 inches wide. If the small tiles cost $3.50 each and the larger tiles cost $4.50 each, how many of each should be used to minimize the cost? What is the minimum cost?
What will be an ideal response?