Question

Think back to Sabrina's painting situation from the introduction. Sabrina has to paint a total area of 1,600 square feet. Every weekend, she paints half of the area that remains to be painted. After four weekends, she wants to know how much more of the total area she painted the first weekend than the subsequent weekends. First you will find the area Sabrina painted using plain multiplication. You'll use this work to check answers you come up with later. Part A Write a numerical expression that represents the area Sabrina painted the first weekend. Using this numerical expression, find the area that Sabrina painted the first weekend.

Answer 1

800 square feet

Step-by-step explanation:

The total area that Sabrina needs to paint is 1,600 square feet. On the first weekend, she paints half of the area, which is, ( · 1,600), or 800 square feet.

Answer 2

1) Numerical expression that represents the area Sabrina painted the first weekend:

• (1/2) 1,600ft²

2) Area that Sabrina painted the first weekend:

• 800ft²

3) How much more of the total area she painted the first weekend than in the subsequent 3 weekends:

• 100 ft²

Step-by-step explanation:

1) Data:

• a) Total area that Sabrina has to paint: 1,600 ft².

• b) Every weekend she paints half of the area that remains to be painted

• c) Number of weekends Sabrina paints: x
• c) Every wee

2) Write a numerical expression that represents the area Sabrina painted the first weekend:

• Half of 1,600ft² = (1/2) × 1,600 ft² =

3) Find the area that Sabrina painted the first weekend.

Compute:

• (1/2) × 1,600ft² = 1,600ft² / 2 = 800 ft²

4) Find how much she painted after four weeks.

• Second weekend: (1/2) 800ft² = 400ft²
• Third weekend: (1/2) 400ft² = 200ft²
• Fourth weekend: (1/2) 200ft² = 100ft²

Total area painted during those three weekends:

• 400ft² + 200ft² + 100ft² = 700ft²

5) Find how much more of the total area she painted the first weekend than in the subsequent 3 weekends.

This is the area she painted the first weekend, 800ft², less the area she painted the subsequent 3 weekends, 700ft²:

• 800ft² - 700ft² = 100ft²