Question

willka can cover (13.5\text{ m}^2) with (3\text{ l}) of paint.

complete the table using equivalent ratios.

area covered (\text{m}^2)	paint (\text{l})
	1
	10

Explanation:

🆕 New Concept Discovered: Equivalent Ratios and Rates
Comparing quantities using division and scaling.

Step 1: Find the unit rate

To find how much area \( 1\text{ L} \) of paint covers, divide the given area by the amount of paint:

$$ \text{Unit Rate} = \frac{13.5\text{ m}^2}{3\text{ L}} = 4.5\text{ m}^2/\text{L} $$

This means \( 1\text{ L} \) of paint covers \( 4.5\text{ m}^2 \).

Step 2: Calculate the area for 10 liters

Multiply the unit rate by \( 10\text{ L} \) to find the corresponding area:

$$ \text{Area for 10 L} = 4.5\text{ m}^2/\text{L} \times 10\text{ L} = 45\text{ m}^2 $$

Answer:

The completed table values from top to bottom are:

• For 1 L of paint: 4.5 \(\text{m}^2\)
• For 10 L of paint: 45 \(\text{m}^2\)