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Monica and Lauren know that they will need a lot of money in order to make the purchases necessary for a successful bakery. They decide to save money each week, and once each person has contributed an equal amount to the bakery's checking account, they will have enough to move forward with their business.

Monica does not initially put any money into the account but plans to deposit $153.46 per week.

Lauren decides to put an initial amount of $128.90 into the account plus deposit an additional $127.68 per week.

Develop a model to determine the number of weeks it will take for the girls to have deposited an equal amount of money. Based on that model, enter the total amount of money in the joined account after the correct number of weeks.

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MrRoyal

Based on the model, the total amount of money in the joined account after the 5 weeks is $767.30

What are linear equations

Linear equations are equations that have constant rates

A linear equation is represented as:

y = mx+ b

In this case,

  • m represents the deposit per week
  • b represents the initial deposit

So, the linear equations are:

  • y =153.46x --- for Monica
  • y = 128.90+ 127.68x -- For Lauren

To calculate the number of weeks, when they have the same amount, we equate both equations

[tex]153.46x = 128.90 + 127.68x[/tex]

Collect like terms

[tex]153.46x -127.68x= 128.90[/tex]

[tex]25.78x= 128.90[/tex]

Solve for x

[tex]x= 5[/tex]

Substitute 5 for x in

[tex]y = 153.46x[/tex]

[tex]y = 153.46 * 5[/tex]

[tex]y = 767.30[/tex]

Hence, it will take 5 weeks for both accounts to have the same amount of $767.30

Read more about linear equations at:

https://brainly.com/question/14323743

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