Mia and Carmen are saving money for their vacation next summer. • Mia and Carmen plan to save $300 each. • Each girl will save a fixed amount each week. Mia uses the equation below to keep track of the amount of money she still needs to save, where a is the amount of money remaining and n is the number of weeks she has been saving. a = 300 - 12 Carmen uses the table below to keep track of how much money she still needs to save. Weeks Remaining Dollars Remaining 16 240 12 180 8 120 4 60 Indicate whether each statement is True or False by selecting the appropriate box. Statements True False Mia will save $300 in 12 weeks. Carmen will save $300 in 16 weeks. Carmen will save more money each week than Mia. Carmen and Mia will save the same amount of money each week. After 10 weeks, Carmen will have saved $150 and Mia will have saved $120.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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### Mia and Carmen are saving money for their vacation next summer.

- Mia and Carmen plan to save $300 each.
- Each girl will save a fixed amount each week.

Mia uses the equation below to keep track of the amount of money she still needs to save, where *a* is the amount of money remaining and *n* is the number of weeks she has been saving.
\[ a = 300 - 12n \]

Carmen uses the table below to keep track of how much money she still needs to save.

| Weeks Remaining | Dollars Remaining |
|-----------------|-------------------|
| 16              | 240               |
| 12              | 180               |
| 8               | 120               |
| 4               | 60                |
| 0               | 0                 |

### Indicate whether each statement is True or False by selecting the appropriate box.

| Statements | True | False |
|------------|------|-------|
| Mia will save $300 in 12 weeks. | ☐ | ☐ |
| Carmen will save $300 in 16 weeks. | ☐ | ☐ |
| Carmen will save more money each week than Mia. | ☐ | ☐ |
| Carmen and Mia will save the same amount of money each week. | ☐ | ☐ |
| After 10 weeks, Carmen will have saved $150 and Mia will have saved $120. | ☐ | ☐ |

#### Explanation of the Table:
- The table shows the number of weeks remaining until Carmen reaches her savings goal and the corresponding amount of money she still needs to save.
- For instance, when there are 16 weeks remaining, Carmen still needs to save $240.
- Similarly, when there are 0 weeks remaining, Carmen has saved all $300 needed.
Transcribed Image Text:### Mia and Carmen are saving money for their vacation next summer. - Mia and Carmen plan to save $300 each. - Each girl will save a fixed amount each week. Mia uses the equation below to keep track of the amount of money she still needs to save, where *a* is the amount of money remaining and *n* is the number of weeks she has been saving. \[ a = 300 - 12n \] Carmen uses the table below to keep track of how much money she still needs to save. | Weeks Remaining | Dollars Remaining | |-----------------|-------------------| | 16 | 240 | | 12 | 180 | | 8 | 120 | | 4 | 60 | | 0 | 0 | ### Indicate whether each statement is True or False by selecting the appropriate box. | Statements | True | False | |------------|------|-------| | Mia will save $300 in 12 weeks. | ☐ | ☐ | | Carmen will save $300 in 16 weeks. | ☐ | ☐ | | Carmen will save more money each week than Mia. | ☐ | ☐ | | Carmen and Mia will save the same amount of money each week. | ☐ | ☐ | | After 10 weeks, Carmen will have saved $150 and Mia will have saved $120. | ☐ | ☐ | #### Explanation of the Table: - The table shows the number of weeks remaining until Carmen reaches her savings goal and the corresponding amount of money she still needs to save. - For instance, when there are 16 weeks remaining, Carmen still needs to save $240. - Similarly, when there are 0 weeks remaining, Carmen has saved all $300 needed.
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