do now\ncharles and vivi both started snack businesses at the same time. charles purchased two $20 - packs…

do now\ncharles and vivi both started snack businesses at the same time. charles purchased two $20 - packs of snack - sized chips and sold each bag of chips for $2 each. vivi purchased 1 pack of chips for $22 and sold each bag of chips for $1 each.\n1. come up with an equation to represent charles weekly profit where x is the variable.\np = 2x - 40\n2. come up with an equation to represent vivis weekly profit where x is the variable.\np = x - 22\n3. fill out the following two tables to represent charles and vivis profit for every bag of chip sold.\nif charles sells this many bags of chips... his profit that week would be...\n0\n1\n2\n5\n10\n15\n18\n20\nif vivi sells this many bags of chips... her profit that week would be...\n0\n1\n2\n5\n10\n15\n18\n20\n4. how many bags of chips would charles and vivi have to both sell to have made the same amount of profit?\ncharles and vivi would both have to sell exactly ______ bags of chips in order to have made the same amount of profit that week.

do now\ncharles and vivi both started snack businesses at the same time. charles purchased two $20 - packs of snack - sized chips and sold each bag of chips for $2 each. vivi purchased 1 pack of chips for $22 and sold each bag of chips for $1 each.\n1. come up with an equation to represent charles weekly profit where x is the variable.\np = 2x - 40\n2. come up with an equation to represent vivis weekly profit where x is the variable.\np = x - 22\n3. fill out the following two tables to represent charles and vivis profit for every bag of chip sold.\nif charles sells this many bags of chips... his profit that week would be...\n0\n1\n2\n5\n10\n15\n18\n20\nif vivi sells this many bags of chips... her profit that week would be...\n0\n1\n2\n5\n10\n15\n18\n20\n4. how many bags of chips would charles and vivi have to both sell to have made the same amount of profit?\ncharles and vivi would both have to sell exactly ______ bags of chips in order to have made the same amount of profit that week.

Answer

Explanation:

Step1: Charles' profit for each x

Charles' P=2x-40. Compute for x=0,1,2,5,10,15,18,20:

  • x=0: $2(0)-40=-40$
  • x=1: $2(1)-40=-38$
  • x=2: $2(2)-40=-36$
  • x=5: $2(5)-40=-30$
  • x=10: $2(10)-40=-20$
  • x=15: $2(15)-40=-10$
  • x=18: $2(18)-40=-4$
  • x=20: $2(20)-40=0$

Step2: Vivi's profit for each x

Vivi's P=x-22. Compute for x=0,1,2,5,10,15,18,20:

  • x=0: $0-22=-22$
  • x=1: $1-22=-21$
  • x=2: $2-22=-20$
  • x=5: $5-22=-17$
  • x=10: $10-22=-12$
  • x=15: $15-22=-7$
  • x=18: $18-22=-4$
  • x=20: $20-22=-2$

Step3: Equal profit bags

Set 2x-40=x-22. Solve: $2x-x=40-22$ → $x=18$

Answer:

Charles' profit table:

If Charles sells this many bags of chips... His profit that week would be...
0 -40
1 -38
2 -36
5 -30
10 -20
15 -10
18 -4
20 0

Vivi's profit table:

If Vivi sells this many bags of chips... Her profit that week would be...
0 -22
1 -21
2 -20
5 -17
10 -12
15 -7
18 -4
20 -2

Charles and Vivi would both have to sell exactly 18 bags of chips in order to have made the same amount of profit that week.