A checking account is set up with an initial balance of $3600, and $400 is removed from the account each month for rent (no other transactions occur on the account).
a. Create an expression representing the amount in her account.

b. Write an equation whose solution is the number of months, m, it takes for the account balance to reach $2000.

c. What does each part of your equation represent?

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xKelvin xKelvin · Answer 1 · 2020-10-02T01:12:49+02:00

Answer:

See below.

Step-by-step explanation:

Let the amount of months that pass be m.

Part A)

We know that the initial balance is $3600

We also know that $400 is removed from the account each month.

In other words, we need to subtract 400 for every month m from $3600.

Therefore, we can write the following expression:

[tex]3600-400m[/tex]

Part B)

We want to write the equation whose solution is the number of months, m, it takes for the account balance to reach $2000.

So, all we need to do is to set our expression we acquired earlier to $2000. This yields:

[tex]2000=3600-400m[/tex]

If we solve for this equation for m, we will get the number of months it took for our balance to equal $2000.

*If you do solve it, we will get that m=4. So, after 4 months, the account balance will be $2000.

Part C)

We have the equation:

[tex]2000=3600-400m[/tex]

The "2000" represents the ending balance: the ending balance of $2000.

The "3600" represents the initial balance: it is what we started with.

And the "-400m" represents the amount deduced each month m. After m months, we will have removed $400m from our initial $3600.