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
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
1 answer