To model the equation \( -x + 40 = x \), we can analyze the options given:
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The amount of money a stock lost in the stock market was $40 more than it gained. This could be represented mathematically as: \[ \text{Loss} = \text{Gain} + 40 \] This doesn't directly translate to the equation.
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If Alex gained as much money as she lost, she would have 40 dollars. This implies: \[ \text{Loss} + 40 = \text{Gain} \] This doesn't match the equation either.
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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. If she is at position \(-x\) (below sea level), to reach zero (sea level), she would need to move up \(x\) feet, so the total distance to move to a location 40 feet higher would require: \[ -x + 40 = x \] This option fits perfectly with the equation.
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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. This can be expressed as: \[ \text{Number of days below zero} = \text{Number of days above zero} - 40 \] This does not match the equation.
Among the options provided, the best fit for modeling the equation \( -x + 40 = x \) is:
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.