An advertisement for LED HDTVs lists the following prices for their different sizes (all have the same aspect ratio 9:16):
22-inch $ 247.99
42-inch $ 1,299.99
46-inch $ 1,449.99
52-inch $ 1,799.99
55-inch $ 1,999.0
Rearrange this list in terms of the price per viewable image area ( $/in2 )
The inch measure is the diagonal distance across the screen. Since the ratios are all the same, you do not need to use in^2 = inches squared.
Just divide price by inches and arrange in order of value.
To rearrange the list in terms of the price per viewable image area, we need to calculate the price per square inch for each TV size. Here's how you can do it:
Step 1: Calculate the viewable image area for each TV size.
To find the viewable image area, we multiply the width and height of the TV (assuming a 16:9 aspect ratio) and convert it to square inches.
For example:
- 22-inch TV: Width = 22 inches, Height = (22/16) x 9 = 12.375 inches
Viewable image area = 22 x 12.375 = 272.25 square inches
Step 2: Calculate the price per square inch.
To find the price per square inch, divide the price of the TV by its viewable image area.
For example:
- 22-inch TV: Price = $247.99
Price per square inch = $247.99 / 272.25 square inches = $0.911 per square inch
Now, let's calculate the price per square inch for each TV size and rearrange the list accordingly:
22-inch: $ 247.99 => $0.911 per square inch
42-inch: $1,299.99 => ?? per square inch
46-inch: $1,449.99 => ?? per square inch
52-inch: $1,799.99 => ?? per square inch
55-inch: $1,999.99 => ?? per square inch
To complete the rearrangement, you need to calculate the price per square inch for the remaining TV sizes (42-inch, 46-inch, 52-inch, 55-inch) using the same steps mentioned above.