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

Question

x50−94=189

(1 point)
Responses

15,000
15,000

150
150

1,500
1,500

150,000

Answer 1

To solve the equation \( x \cdot 50 - 94 = 189 \), we can follow these steps:

1. Add 94 to both sides of the equation:

\[ x \cdot 50 = 189 + 94 \]

\[ x \cdot 50 = 283 \]

2. Now, divide both sides by 50 to solve for \( x \):

\[ x = \frac{283}{50} \]

3. Performing the division:

\[ x = 5.66 \]

Given the options:

• 15,000
• 150
• 1,500
• 150,000

The closest and best estimate for \( x \) is \( 150 \).