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.

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.
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.

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.
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Answer 1

To model the equation \(-x + 40 = x\) with a real-world problem, we can interpret the variables as follows:

Let \(x\) represent the amount of money gained or lost. Therefore, \(-x\) represents the loss (as it is negative), and \(40\) represents a fixed amount that is compared against the money lost.

The equation states that the amount of money lost, increased by $40, equals the amount gained.

Given this interpretation, the first response is the most appropriate:

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

This captures the essence of the equation, where the loss (negative gain) is equal to the gain plus $40.