Y2 – x2 = 16 please help
1 answer:
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Answer: A) max at (14, 6) = 64, min at (0,0) = 0
<u>Step-by-step explanation:</u>
Graph the lines at look for the points of intersection.
Input those points into the Constraint function (2x + 6y) and look for the maximum value and minimum value.
Points of Intersection: (0, 0), (17, 0), (0, 10), (14, 6)
Point Constraint 2x + 6y
(0, 0): 2(0) + 6(0) = 0 Minimum
(17, 0): 2(17) + 6(0) = 34
(0, 10): 2(0) + 6(10) = 60
(14, 6): 2(14) + 6(6) = 64 Maximum
The theater must sell more than 35 tickets to earn at least $1000.
Step-by-step explanation:
Cost of one student ticket = $9.50
Tickets already sold = 70
Cost of 70 tickets = 70*9.50 = $665
Worth to be made by selling tickets = $1000
Let,
x be the number of tickets to be sold.
According to statement;
The theater wants to earn $1000 minimum, therefore,
Cost of one ticket*Number of tickets to be sold + cost of 70 tickets > Total worth to be earned
Dividing both sides by 9.50
Rounding off to nearest whole number
x>35
The theater must sell more than 35 tickets to earn at least $1000.
Keywords: variable, inequality
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