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30 Jul 2025, 11:05
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Question Stats:
100% (01:31) correct
0% (00:00) wrong based on 1 sessions
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The revenue, R, that a company earns from offering x promotional discounts is given by the function \(R(x) = -2x^2 + 32x +160.\)
Quantity A
The revenue earned from offering five discounts
Quantity B
The revenue earned from offering 11 discounts
Quantity A
The revenue earned from offering five discounts
Quantity B
The revenue earned from offering 11 discounts
Updated on: 16 Aug 2025, 01:19
Originally posted by Sajjad1994 on 16 Aug 2025, 01:18.
Last edited by Sajjad1994 on 16 Aug 2025, 01:19, edited 1 time in total.
Last edited by Sajjad1994 on 16 Aug 2025, 01:19, edited 1 time in total.
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Explanation
Obtain the revenue for five discounts by putting in 5 as x into the given function \(R(x) = -2x^2 + 32x +160.\) Then \(R(5) = -2(5)^2 + 32(5) + 160.\) The order of operations dictates that squaring comes before multiplying in the first term, so \(R(5) = -50 + 160 + 160 = 270.\) Find the revenue from offering 11 discounts similarly. \(R(11) = -2(11)^2 + 32(11) + 160 = -242 + 352 +160 = 270, \)and the quantities are equal, (C).
*When a quadratic equation is in the form \(y = ax^2 + bx + c, \)it graphs as a parabola in the xy-plane, with the parabola’s axis of symmetry given by the formula Here, the axis of symmetry is
Since the value x = 5 is 3 units to the left of the symmetry line, while the value x = 11 is 3 units to the right of the symmetry line, the y-values associated with these points must be equal, and (C) is correct.
Answer: C
Obtain the revenue for five discounts by putting in 5 as x into the given function \(R(x) = -2x^2 + 32x +160.\) Then \(R(5) = -2(5)^2 + 32(5) + 160.\) The order of operations dictates that squaring comes before multiplying in the first term, so \(R(5) = -50 + 160 + 160 = 270.\) Find the revenue from offering 11 discounts similarly. \(R(11) = -2(11)^2 + 32(11) + 160 = -242 + 352 +160 = 270, \)and the quantities are equal, (C).
*When a quadratic equation is in the form \(y = ax^2 + bx + c, \)it graphs as a parabola in the xy-plane, with the parabola’s axis of symmetry given by the formula Here, the axis of symmetry is
Since the value x = 5 is 3 units to the left of the symmetry line, while the value x = 11 is 3 units to the right of the symmetry line, the y-values associated with these points must be equal, and (C) is correct.
Answer: C
