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

1 answer

To model the equation \(-x + 40 = x\), we are looking for a scenario where there is a balance between a loss (represented by \(x\)) and a gain or value (in this case, 40).

The correct response among the given options is:

"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."

To explain:

  • Let \(x\) represent the number of days the temperature has been below zero.
  • Then, \(40\) represents the number of days the temperature has been above zero.
  • The equation \(-x + 40 = x\) can be interpreted as the number of days above zero (40) minus the days below zero (x) being equal to the days below zero (x).

This effectively captures the balance required in the modeled scenario.

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