Sarah, Gene and Paul are proposing plans for a class fundraiser. Each presents their proposal for the amount of money raised, y, for x
number of hours worked, in different ways.
Paul's Proposal
y=10x + 7
Gene's Proposal
Sarah's Proposal
Hours Money
Worked Raised
70
60
5
42
50
40
10
77
30
20
15
112
10
0 1 2 3 4 5 6 7 8 9
20
у
90
80
147
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Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the plane x + 2y + 3z = 15.

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.

Evaluate 8j -k+148j−k+14 when j=0.25j=0.25 and k=1k=1.