Jesse opened a savings account with a deposit of $70. He is planning to deposit an additional $10 each week. Part A: Write an inequality that can be used to determine the number of weeks Jesse has to make deposits for the money in the account to be more than $375.

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19-01-2024
Mathematics

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Jesse opened a savings account with a deposit of $70. He is planning to deposit an additional $10 each week. Part A: Write an inequality that can be used to determine the number of weeks Jesse has to make deposits for the money in the account to be more than $375.

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kdodd287 kdodd287 · Answer 1 · 2024-01-19T13:40:57-05:00

Let's denote the number of weeks Jesse makes deposits as w, and the total amount in the account after w weeks as A. The initial deposit is $70, and he plans to deposit an additional $10 each week. The inequality to represent the situation is:

A = 70+10w

Now, Jesse wants the money in the account to be more than $375. Therefore, we can write the inequality as:

70 + 10w > 375

This inequality represents the condition for the total amount in the account to be more than $375 after w weeks of making deposits.

BrainIyGod BrainIyGod · Answer 2 · 2024-01-19T13:43:50-05:00

Answer:

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Step-by-step explanation:

To determine the number of weeks Jesse has to make deposits for the money in the account to be more than $375, we can set up the following inequality:

70 + 10w > 375

In this inequality, "w" represents the number of weeks that Jesse has made deposits. The left side of the inequality represents the total amount in Jesse's savings account after "w" weeks, which includes the initial deposit of $70 and the additional $10 deposited each week. The right side of the inequality represents the desired amount, which is $375.

By solving this inequality, we can find the number of weeks needed for the money in the account to be more than $375.