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. 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.

Question

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.  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.

GPT-4o mini · Answer

To model the equation $-x + 40 = x$, we need to create a real-world scenario that translates to this format. The problem "**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**" fits this model well. In this scenario, - Let $x$ represent the number of days the temperature has been above zero. - Then $-x$ represents the days below zero, and since it is stated that this amount is 40 fewer than the days above zero, we set up the equation as: $$ -x + 40 = x. $$ Thus, the correct response 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.**