Question

Question

How would you write a real-world problem that models the following equation: −x+40=x?(1 point)
Responses

The amount of money a stock lost in the stock market was $40 more than it gained.
The amount of money a stock lost in the stock market was $40 more than it gained.

If Alex gained as much money as she lost, she would have 40 dollars.
If Alex gained as much money as she lost, she would have 40 dollars.

The number of days that the temperature has been below zero is 40 fewer than the number of days the temperature has been above zero.
The number of days that the temperature has been below zero is 40 fewer than the number of days the temperature has been above zero.

Marsha is below sea level. To get as far above sea level as she is below, she would have to move to a location 40 feet higher.

Answer 1

The equation \(-x + 40 = x\) can be interpreted in several contexts. Among the options provided, the response that best models the equation in a real-world scenario is:

The amount of money a stock lost in the stock market was $40 more than it gained.

To break this down:

• Let \(x\) represent the amount of money gained from the stock.
• The loss, represented as \(-x\), indicates that the loss is equivalent to the negative of the gain.
• The problem states that the loss is $40 more than the gain, which can be expressed as \(-x = x - 40\) or rearranged to match the given equation of \(-x + 40 = x\).

Thus, this statement accurately reflects the given equation in terms of loss and gain in a financial context.