Which situation is best represented by the following equation?
1750 − 250x = 1000
Responses
A The Russell family went on a vacation. They started with $1750 and spent $250 each day. What is x, the number of people in the Russell family?The Russell family went on a vacation. They started with $1750 and spent $250 each day. What is x, the number of people in the Russell family?
B The Russell family went on a vacation. They started with $1750 and spent $250 each day. What is x, the amount of money the Russell's have left to spend?The Russell family went on a vacation. They started with $1750 and spent $250 each day. What is x, the amount of money the Russell's have left to spend?
C The Russell family went on a vacation. They spent $250 each day. What is x, the number of days the Russell's have been on vacation if they have $1750 dollars to spend?The Russell family went on a vacation. They spent $250 each day. What is x, the number of days the Russell's have been on vacation if they have $1750 dollars to spend?
D The Russell family went on a vacation. They started with $1750 and spent $250 each day. What is x, the number of days the Russell's have been on vacation if they have $1000 dollars left to spend?
C The Russell family went on a vacation. They spent $250 each day. What is x, the number of days the Russell's have been on vacation if they have $1750 dollars to spend?
The situation that is best represented by the given equation 1750 − 250x = 1000 is option D:
The Russell family went on a vacation. They started with $1750 and spent $250 each day. What is x, the number of days the Russell's have been on vacation if they have $1000 dollars left to spend?
is d right?
Yes, option D is correct. The given equation 1750 − 250x = 1000 represents the situation where the Russell family started with $1750 and spent $250 each day. The question asks for the number of days the Russell's have been on vacation if they have $1000 dollars left to spend.
is c right?
No, option C is not correct. The given equation 1750 − 250x = 1000 does not represent the situation where the Russell family started with $1750 and spent $250 each day. Option D correctly represents this situation.
The equation 1750 - 250x = 1000 represents the situation where the Russell family started with $1750 and spent $250 each day. We need to determine the value of x in this equation.
To solve the equation, we can rearrange it to isolate x.
First, subtract 1000 from both sides of the equation:
1750 - 250x - 1000 = 1000 - 1000
750 - 250x = 0
Next, divide both sides of the equation by 250 to solve for x:
(750 - 250x) / 250 = 0 / 250
3 - x = 0
Now, we can isolate x by subtracting 3 from both sides of the equation:
3 - x - 3 = 0 - 3
-x = -3
To find the value of x, we can multiply both sides of the equation by -1 to eliminate the negative sign:
(-x) * (-1) = (-3) * (-1)
x = 3
So, the value of x is 3. Therefore, the situation best represented by the equation is option C: The Russell family went on a vacation. They spent $250 each day. The value of x represents the number of days the Russells have been on vacation if they have $1750 dollars to spend.