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A baker has modeled the monthly operating costs for making wedding cakes by the function c(x)=0.5x²-12x+150 where y is the total cost in dollars and x is the number of cakes prepared. 37. How many cakes should be prepared each month to yield the minimum operating costs? A) 6 B) 8 C) 12 D) 16 E) 24 38. What would be the minimum operating cost? A) $78 B) $86 C) $96 D) $124 E) $150 39. How much would the operating costs be if the baker made 10 cakes? A) $35 B) $80 C) $105 D) $130 E) $150

A baker has modeled the monthly operating costs for making wedding cakes by the function c(x)=0.5x²-12x+150 where y is the total cost in dollars and x is the number of cakes prepared. 37. How many cakes should be prepared each month to yield the minimum operating costs? A) 6 B) 8 C) 12 D) 16 E) 24 38. What would be the minimum operating cost? A) $78 B) $86 C) $96 D) $124 E) $150 39. How much would the operating costs be if the baker made 10 cakes? A) $35 B) $80 C) $105 D) $130 E) $150

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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A baker has modeled the monthly operating costs for making wedding cakes by the function c(x)=0.5x²-12x+150 where y is the total cost in dollars and x is the number of cakes prepared. 37. How many cakes should be prepared each month to yield the minimum operating costs? A) 6 B) 8 C) 12 D) 16 E) 24 38. What would be the minimum operating cost? A) $78 B) $86 C) $96 D) $124 E) $150 39. How much would the operating costs be if the baker made 10 cakes? A) $35 B) $80 C) $105 D) $130 E) $150 A rope used for rock climbing can support a weight W (in pounds) if W ≤6500d² where d is the diameter of the rope (in centimeters). 40. Can a rope that has a diameter of 1 cm support 8000 pounds? A) Yes B) No B) No 41. Can a rope that has a diameter of 1.75 cm support 12000 pounds? A) Yes
Transcribed Image Text:A baker has modeled the monthly operating costs for making wedding cakes by the function c(x)=0.5x²-12x+150 where y is the total cost in dollars and x is the number of cakes prepared. 37. How many cakes should be prepared each month to yield the minimum operating costs? A) 6 B) 8 C) 12 D) 16 E) 24 38. What would be the minimum operating cost? A) $78 B) $86 C) $96 D) $124 E) $150 39. How much would the operating costs be if the baker made 10 cakes? A) $35 B) $80 C) $105 D) $130 E) $150 A rope used for rock climbing can support a weight W (in pounds) if W ≤6500d² where d is the diameter of the rope (in centimeters). 40. Can a rope that has a diameter of 1 cm support 8000 pounds? A) Yes B) No B) No 41. Can a rope that has a diameter of 1.75 cm support 12000 pounds? A) Yes
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