A group of students wish to charter a bus which holds at most 45 people to go to an educational tour. The bus company requires at least 30 people to go. It charges GHe 100 per person if up to 1 times the 40 people go. If more than 40 people go, it charges each person GHe 100 less number more than 40 who go. 3a) Determine the total cost as a function of the number of students who go 3b) Deduce and com the domain of the function. (3c) Show that the lines 5x+6y=20 and 18x-15y = 17 are at right angles.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question 3
A group of students wish to charter a bus which holds at most 45 people to go to an educational
tour. The bus company requires at least 30 people to go. It charges GHe 100 per person if up to
40 people go. If more than 40 people go, it charges each person GHe 100 less times the
number more than 40 who go.
3a) Determine the total cost as a function of the number of students who go
3b) Deduce and com the domain of the function.
(3c) Show that the lines 5x+6y= 20 and 18x-15y = 17 are at right angles.
3d) Kojo Manu enjoys throwing spaghetti on his days off. He stands in his backyard every
Saturday afternoon. His throwing arm is quite good; his record spaghetti toss was 12 feet in the
air, after 4 seconds. At 2 seconds, the spaghetti is 8 feet high. At 5 seconds, it is at 4 feet.
Transcribed Image Text:Question 3 A group of students wish to charter a bus which holds at most 45 people to go to an educational tour. The bus company requires at least 30 people to go. It charges GHe 100 per person if up to 40 people go. If more than 40 people go, it charges each person GHe 100 less times the number more than 40 who go. 3a) Determine the total cost as a function of the number of students who go 3b) Deduce and com the domain of the function. (3c) Show that the lines 5x+6y= 20 and 18x-15y = 17 are at right angles. 3d) Kojo Manu enjoys throwing spaghetti on his days off. He stands in his backyard every Saturday afternoon. His throwing arm is quite good; his record spaghetti toss was 12 feet in the air, after 4 seconds. At 2 seconds, the spaghetti is 8 feet high. At 5 seconds, it is at 4 feet.
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