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Molly worked at an amusement park over the summer. Every two
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27 May 2018, 09:03
27 May 2018, 09:03
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Question Stats:
50% (02:24) correct
49% (02:33) wrong based on 57 sessions
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Molly worked at an amusement park over the summer. Every two weeks, she was paid according to the following schedule: at the end of the first 2 weeks, she received $160. At the end of each subsequent 2-week period, she received $1, plus an additional amount equal to the sum of all payments she had received in previous weeks. How much money was Molly paid during the full 10 weeks of summer?
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$ 2,575
Re: Molly worked at an amusement park over the summer. Every two
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28 May 2018, 13:33
28 May 2018, 13:33
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Explanation
At the end of the first two weeks, Molly received $160. At the end of the fourth week, she received $1, plus $160 for the total she had been paid up to that point, for a total of $161. At the end of the sixth week, she received $1, plus ($160 + $161), or $321, for the total she had been paid up to that point, making the sixth week total $322. To keep track, put these values in a table:
Hence $2,575 was earned.
At the end of the first two weeks, Molly received $160. At the end of the fourth week, she received $1, plus $160 for the total she had been paid up to that point, for a total of $161. At the end of the sixth week, she received $1, plus ($160 + $161), or $321, for the total she had been paid up to that point, making the sixth week total $322. To keep track, put these values in a table:
| Week # | Paid This Week($) | Cumulative Pay Including This Week ($) |
| 2 | 160 | 160 |
| 4 | 160 + 1 = 161 | 160 + 161 = 321 |
| 6 | 321 + 1 = 322 | 321 + 322 = 643 |
| 8 | 643 + 1 = 644 | 643 + 644 = 1,287 |
| 10 | 1,287 + 1 = 1,288 | 1,287 + 1,288 = 2,575 |
Hence $2,575 was earned.
Re: Molly worked at an amusement park over the summer. Every two
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05 Jun 2018, 00:56
05 Jun 2018, 00:56
Very well explained. Thanks!
