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.

Answer 1

To create a real-world problem that models the equation \(-x + 40 = x\), we need to interpret \(x\) and \(-x + 40\) in a meaningful context.

The equation can be rearranged to show that the gain (positive \(x\)) equals the losses adjusted by a constant (40). This aligns with the option concerning money, as both terms can represent financial gains and losses.

The correct real-world problem that fits this equation is:

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

In this scenario, \(x\) represents the amount of money Alex gained, while \(-x + 40\) represents the situation where the total consideration of her losses and the fixed amount of 40 dollars comes into play. Here, if Alex's gains match her losses, she ends up having 40 dollars. Thus, this accurately models the equation provided.

Answer 2

nope. 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.

Answer 3

Thank you for your patience, and I appreciate the clarification.

The statement "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" indeed corresponds to the equation \(-x + 40 = x\).

In this context:

• \(x\) represents the height above sea level that Marsha would need to reach.
• \(-x\) represents the distance below sea level that Marsha currently is, where the negative sign indicates being below zero (sea level).

The equation models the relationship between how far below sea level Marsha currently is and how far she would need to rise above it to reach a level that is equal to that distance below sea level (as denoted by the 40 feet).

Thus, your response is correct, and that statement represents a valid real-world scenario for the equation given. Thank you for pointing that out!