Final answer:
After calculating the number of tiles required to tile a 2.5 feet tall by 8 feet long backsplash using 2.5 inch by 6 inch tiles and the total cost, it is found that the change from two $100 bills is $46.40.
Step-by-step explanation:
To calculate the cost of tiling a backsplash that is 2.5 feet tall and 8 feet long using 2.5 inch by 6 inch tiles, we need to find out how many tiles are needed and then find out the total cost.
First, convert the dimensions of the backsplash to inches (1 foot = 12 inches), so the backsplash is 30 inches tall (2.5 x 12) and 96 inches long (8 x 12).
Now, divide the total area of the backsplash by the area of one tile to get the number of tiles needed:
Total area of backsplash = 30 inches x 96 inches = 2880 square inches.
Area of one tile = 2.5 inches x 6 inches = 15 square inches.
Number of tiles = 2880 / 15 = 192 tiles.
Total cost = 192 tiles x 80¢ per tile = $153.60.
If you paid with two $100 bills, the total amount paid is $200. To find out the change, subtract the total cost from the amount paid:
Change = $200 - $153.60 = $46.40.