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

Question

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.
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.
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.
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

To model the equation \(-x + 40 = x\), we can interpret the variables in context. Here, \(x\) represents the amount of money lost (which is negative), and \(-x\) would thereby represent the amount gained. The equation takes the form of stating that the amount lost, when increased by $40, equals the amount gained.

Among the provided responses, the appropriate real-world problem that best captures this scenario is:

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

This statement aligns with the equation since it implies that the negative loss (represented by \(-x\)) plus $40 equals the amount gained (represented by \(x\)).