College

This week, rolls of wallpaper are on sale for [tex]$11.99[/tex] per roll. Find the cost of covering the wall with wallpaper.

A gallon of special textured paint covers 200 ft² and is on sale for [tex]$22.99[/tex] per gallon. The wall needs two coats of paint. Find the cost of using paint to cover the wall.

Answer :

Sure! Let's find out how much it will cost to cover the wall with two options: wallpaper and paint. Here's a step-by-step explanation:

### Wallpaper

1. Cost per Roll: The cost of one roll of wallpaper is [tex]$11.99.
2. Total Cost for Wallpaper:
- Since we don't have information about the wall's dimensions and the number of rolls needed, we'll focus on the price per roll. For illustrative purposes, if you need to cover a specific area, you would first calculate how many rolls you'll need based on the size of each roll and the total area to be covered.

### Paint

To calculate the cost of using paint to cover the wall:

1. Cost per Gallon of Paint: A gallon of special textured paint costs $[/tex]22.99.
2. Coverage per Gallon: One gallon covers 200 square feet.

3. Total Wall Area to Cover: Assume you have a wall area of 400 square feet.

4. Number of Coats Needed: The wall needs to be painted twice, so you'll apply two coats.

5. Total Coverage Needed:
- Multiply the wall area (400 sq ft) by the number of coats (2) to get the total coverage needed:
[tex]\[ 400 \, \text{sq ft} \times 2 = 800 \, \text{sq ft} \][/tex]

6. Gallons of Paint Required:
- Divide the total coverage needed (800 sq ft) by the coverage per gallon (200 sq ft/gallon):
[tex]\[ \frac{800 \, \text{sq ft}}{200 \, \text{sq ft/gallon}} = 4 \, \text{gallons} \][/tex]

7. Total Paint Cost:
- Multiply the number of gallons needed by the cost per gallon:
[tex]\[ 4 \, \text{gallons} \times \$22.99/\text{gallon} = \$91.96 \][/tex]

So, it would cost $91.96 to paint the wall with two coats.