Modeling With Systems
Question:
Answer: y = -¹/₉(x - 1)² + 10
y = ¹/₈x² - 7
Question:
Answer: The arrow is fired with an initial upward velocity of 32 ft/s
Question:
Answer: The height of the baseball is 35 feet at the moment the player begins to leap.
Question:
Answer: y = 280x
y = -0.052(x-500)² + 24,000
Question: A rectangular swimming pool has a perimeter of 96 ft. The area of the pool is 504 ft2. Which system of equations models this situation correctly?
Answer: 2l + 2w = 98
lw = 504
Question: The local community theater sold a total of 240 tickets for Saturday night’s performance. They sold 180 more full-price tickets than discount tickets. Which system of equations can be used to model this situation?
Answer: f + d = 240
f - d = 180
Question: Hector needs 84 feet of fencing to enclose his rectangular garden. The length of his garden is 12 feet less than twice its width. What is the width of his garden?
Answer: 18 ft
Question:
Answer: (x-1)^2 + (y-2)^2 = 25
y = 14/81 (x-2)^2 - 6
Question: The length of a rectangular field is 20 less than its width. The area of the field is 12,000 ft2. What is the width of the field?
Answer: 120 ft
Question:
Answer: y - 2(x - 4)² = 2
5x + 11y = 62