Solve the problem.While on a business trip, Amy pays $150 per day to stay in a hotel, plus $20 per meal purchased at a restaurant. Amy's company will reimburse her at most $700 for the entire trip. Let d = the number of days and m = the number of meals. (a) Write an inequality that describes Amy's trip expense limitations. (b) Graph the inequality. Because d and m must be non-negative, restrict the graph to Quadrant I. (c) If Amy stays in the hotel 2 days and purchases 5 meals at restaurants, will she be within her budget?
A. (a) m ? 35 - 7.5d;
(b)
(c) yes
B. (a) m ? -35 + 7.5d;
(b)
(c) yes
C. (a) m ? 35 + 7.5d;
(b)
(c) no
D. (a) m ? 35 - 7.5d;
(b)
(c) no
Answer: A
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Solve the problem.This year, a community recovered 26% of its municipal solid wastes through recycling, up from 17% when the recycling program first began five years ago. Let y represent the percentage recycled and x the number of years since the program began. Find a linear function that fits this data.
A. y = 1.8x + 24 B. y = 1.8x + 17 C. y = 0.9x - 17 D. y = -1.8x + 7
Graph the hyperbola.(y - 2)2 - 9(x + 2)2 = 9
A.
B.
C.
D.
Find the special product.
A. y2 - 16
B. y2 +
y - 16
C. y2 - 8
D. y2 -
y - 16
Factor out the greatest common factor.18x3 - 36x2 + 27x
A. 9x(2x2 - 36x2 + 27x) B. 9(2x3 - 4x2 + 3x) C. 9x(2x2 - 4x + 3) D. 18x(x2 - 2x + 3)