Question

Which of the following answers gives the best estimate for x given the following equation?

21x+1,998=2,243
A. 1
B.10
C. 1,000
D. 100

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the best estimate for x, we need to isolate x on one side of the equation.

21x + 1,998 = 2,243

We can start by subtracting 1,998 from both sides of the equation:

21x = 2,243 - 1,998
21x = 245

Next, we divide both sides of the equation by 21 to solve for x:

x = 245 / 21

The best estimate for x is the closest whole number to this value.

Let's evaluate each option:

A. 1: This is not a close estimate. Reject.
B. 10: This is not a close estimate. Reject.
C. 1,000: This is a very large number. Reject.
D. 100: This is the closest estimate since it is relatively close to the actual value of x.

Therefore, the best estimate for x given the equation is D. 100.