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

1 answer

To model the equation \(-x + 40 = x\), we will analyze each response option provided to find the best real-world problem that fits the equation.

  1. 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.

    • In this case, let \( x \) represent the number of days above zero. Then, the number of days below zero would be \( -x + 40 \). The equation represents that the days below zero are 40 fewer than those above zero, which aligns perfectly with our equation.

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

    • Here, if we let \( x \) be the amount gained, the loss would be \( x + 40 \); however, this doesn't correspond to our equation.

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

    • This statement concerning Alex's gains and losses does not directly translate to the given equation.

  4. 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.

    • This scenario can be described mathematically, but it does not translate directly to our equation.

Given this analysis, the best option that correctly models the equation \(-x + 40 = x\) 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.