Question

Can you help me with this word problem ? Your principle wants to hire you to work for him for ten days. He will pay you either $6.00 each day for all ten days or $1.00 the first day, $2.00 the second day, $3.00 the third day and so on or $0.10 the first day and each day thereafter twice the amount of the day before . A(under which arrangement would you earn the most money?) Explain why
B( under which arrangement would you earn the least money) explain why .

Answer 1

6x10=60

1+2+3+4+5+6+7+8+9+10=55

0.1+0.2+0.4+0.8+1.6+3.2+6.4+12.8+25.6+51.2=102.3



A: He would earn the most amount of money with the 3rd arrangement. 

B: He would earn the least amount of money with the 2nd arrangement.

Answer 2

1st arrangement: 
6+6+6+6+6+6+6+6+6+6=60
2nd arrangement:
1+2+3+4+5+6+7+8+9+10=55

3rd arrangement:
0.1+0.2+0.4+0.8+1.6+3.2+6.4+12.8+25.6+51.2=102.3


Part A: He earns the most money with the 3rd arrangement. Because the 1st arrangement is equal to 60, the second one is equal to 55, and the 3rd one is equal to 102.3. And the 3rd one is the greatest. 

Part B: He earns the least money with the 2nd arrangement. Because the 1st arrangement is equal to 60, the second one is equal to 55, and the 3rd one is equal to 102.3. And the 2nd one is the smallest.