Explanation:
As points have three coordinates i.e. x, y and z hence the sketch of the given four points is drawn in 3D shape and for that picture is attached here with this answer.
Points are given in the format as below
(value of x-coordinate , value of y-coordinate , value of z-coordinate)
In the attachment:
Point A = (0,5,2) (in blue color)
Point B = (4,0,-1) (in purple color)
Point C = (2,4,6) (in orange color)
Point D = (1,-1,2) (in black color)
Answer:
(A)Cost of Rental A, C= 15x
Cost of Rental B, C=5x+50
Cost of Rental C, C=9x+20
(B)
i. Rental C ii. Rental A iii. Rental B
Step-by-step explanation:
<u>Part 1</u>
Let x be the number of hours of the barbeque use by the club.
Rental A: $15/h
Cost of Rental A, C= 15hx
Rental B: $5/h + 50
Cost of Rental B, C=5x+50
Rental C: $9/h + 20
Cost of Rental C, C=9x+20
<u>Part 2</u>
The graph of the three models is attached below
<u>Part 3(11.05-4.30)</u>
If the barbecue's usage hour is from 11.05 to 4.30 when the football match ends.
Number of Hours between 11.05am and 4.30pm=4 hours 25 Minutes = 4.42 Hours
Cost of Rental A, C= 15x=15(4.42)=$66.30
Cost of Rental B, C=5x+50 =5(4.42)+50=$72.10
Cost of Rental C, C=9x+20=9(4.42)+20=$59.78
Rental C should be chosen as it offers the lowest cost.
<u>Part 4 (11.05-12.30)</u>
Number of Hours = 12.30 -11.05 =1 hour 25 Minutes = 1.42 Hours
Rental A should be chosen since it offers the lowest cost.
<u>Part 5</u>
If the barbecue is returned the next day, say after 24 hours
Rental B should be chosen as it offers the lowest cost.
