Question
Rossana heads the finance department of a small city. This year, the budget for the department is 1.32 million dollars. If Rossana is asked to bring the department's budget to under 1.12 million dollars next year, which of the following can be used to represent x, the amount of money, in millions of dollars, Rossana must cut from the department's budget?
Answers
GPT-4o mini
To find the amount Rossana must cut from the department's budget to bring it under 1.12 million dollars, we can set up the following equation based on the information given:
1. Start with the current budget: \(1.32\) million dollars.
2. We want to achieve a budget that is less than \(1.12\) million dollars.
3. Let \(x\) represent the amount in millions of dollars that Rossana must cut from the budget.
The condition can be represented in the following way:
\[
1.32 - x < 1.12
\]
This equation states that when \(x\) (the amount to be cut) is subtracted from the current budget of \(1.32\) million dollars, the result must be less than \(1.12\) million dollars.
Therefore, the amount of money that Rossana must cut from the budget can be represented by:
\[
x
\]
subject to the condition:
\[
x > 1.32 - 1.12
\]
Simplifying that, we have:
\[
x > 0.20
\]
Thus, \(x\) must be greater than \(0.20\) million dollars, or \(200,000\) dollars. This indicates that Rossana must cut more than \(200,000\) dollars from the current budget.
1. Start with the current budget: \(1.32\) million dollars.
2. We want to achieve a budget that is less than \(1.12\) million dollars.
3. Let \(x\) represent the amount in millions of dollars that Rossana must cut from the budget.
The condition can be represented in the following way:
\[
1.32 - x < 1.12
\]
This equation states that when \(x\) (the amount to be cut) is subtracted from the current budget of \(1.32\) million dollars, the result must be less than \(1.12\) million dollars.
Therefore, the amount of money that Rossana must cut from the budget can be represented by:
\[
x
\]
subject to the condition:
\[
x > 1.32 - 1.12
\]
Simplifying that, we have:
\[
x > 0.20
\]
Thus, \(x\) must be greater than \(0.20\) million dollars, or \(200,000\) dollars. This indicates that Rossana must cut more than \(200,000\) dollars from the current budget.