Megan, Chris, and Elyse have accounts where they deposit money and never withdraw. Chris' Account 120 180 330 Megan's Account 30 3 60 5 105 10 a. How much does each person start off with in their account? b. How much does each person deposit per day? c. How much will each person have in their account after 100 days? 400 days? d. What is a formula we could use to predict how much each person will have in their account after x days? Days 2 4 7 Days Days Elyse's Account 51 95 183 2 4 8

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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### Account Growth Analysis

Megan, Chris, and Elyse have accounts where they deposit money and never withdraw. The tables below represent their account balances over a period of time.

#### Megan's Account
| Days | Amount ($) |
|------|------------|
| 2    | 30         |
| 4    | 60         |
| 7    | 105        |

#### Chris' Account
| Days | Amount ($) |
|------|------------|
| 3    | 120        |
| 5    | 180        |
| 10   | 330        |

#### Elyse's Account
| Days | Amount ($) |
|------|------------|
| 2    | 51         |
| 4    | 95         |
| 8    | 183        |

#### Questions:
a. **How much does each person start off with in their account?**

b. **How much does each person deposit per day?**

c. **How much will each person have in their account after 100 days? 400 days?**

d. **What is a formula we could use to predict how much each person will have in their account after x days?**

To answer these questions, you need to:
1. Determine initial amounts for each person.
2. Calculate the daily deposit rate by finding the differences between account values and dividing by the number of days.
3. Use the daily deposit rate to project future balances and formulate a predictive equation.
Transcribed Image Text:### Account Growth Analysis Megan, Chris, and Elyse have accounts where they deposit money and never withdraw. The tables below represent their account balances over a period of time. #### Megan's Account | Days | Amount ($) | |------|------------| | 2 | 30 | | 4 | 60 | | 7 | 105 | #### Chris' Account | Days | Amount ($) | |------|------------| | 3 | 120 | | 5 | 180 | | 10 | 330 | #### Elyse's Account | Days | Amount ($) | |------|------------| | 2 | 51 | | 4 | 95 | | 8 | 183 | #### Questions: a. **How much does each person start off with in their account?** b. **How much does each person deposit per day?** c. **How much will each person have in their account after 100 days? 400 days?** d. **What is a formula we could use to predict how much each person will have in their account after x days?** To answer these questions, you need to: 1. Determine initial amounts for each person. 2. Calculate the daily deposit rate by finding the differences between account values and dividing by the number of days. 3. Use the daily deposit rate to project future balances and formulate a predictive equation.
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