Determine Reasonableness of Solutions Quick Check
1 of 51 of 5 Items
Question
Which of the following answers gives the best estimate for x given the following equation?
−2x+902=1,518
(1 point)
Responses
−300
negative 300
300
300
600
600
−600
To determine the reasonableness of the solutions, we need to solve the equation and see if the solution makes sense in the context of the problem.
To solve the equation −2x + 902 = 1,518, we can start by subtracting 902 from both sides to isolate the variable x:
−2x = 1,518 - 902
−2x = 616
Next, we divide both sides of the equation by -2 to solve for x:
x = 616 / -2
x = -308
Therefore, the best estimate for x is -308.
Among the given options, the answer that is closest to -308 is -300. Thus, the best estimate for x is -300.
The most appropriate response is: −300