Question

here is a problem i picked from the textbook. practice check to see if i did this right.

(4.5y+1.1=3.6)

first subtract 1.1 from both sides.

(4.5y=2.5)

then divide 4.5 from both sides

(y=.55555)

finally round to nearest hundredth

(y=.56)

thankyou!

Explanation:

Analyze the student's steps

Using the Algebraic Error Analysis and Linear Equations knowledge points

• Given equation: \(4.5y + 1.1 = 3.6\)
• Step 1: Subtract \(1.1\) from both sides.

$$ 4.5y = 3.6 - 1.1 \implies 4.5y = 2.5 $$

This step is correct.

• Step 2: Divide both sides by \(4.5\).

$$ y = \frac{2.5}{4.5} = \frac{25}{45} = \frac{5}{9} \approx 0.55555... $$

This step is correct.

• Step 3: Round to the nearest hundredth.

$$ y \approx 0.56 $$

This step is correct.

Evaluate overall correctness

The student's work is entirely correct. Every algebraic step and the final rounding are accurate.

Answer:

Yes, you did this completely right! Your steps and final rounded answer of \(y = 0.56\) are correct.