To determine the scale of the miniature replica made for the keychain, we first need to convert all measurements to the same unit. The wall painting is 3 feet wide, and we convert that to inches (since the miniature replica is measured in inches).
1 foot = 12 inches, so:
3 feet = 3 × 12 inches = 36 inches.
Now we know:
- Width of the wall painting = 36 inches
- Width of the miniature replica = 6 inches
Next, we can find the scale of the replica by comparing the size of the replica to the original:
Scale = Width of the wall painting / Width of the miniature replica
Scale = 36 inches / 6 inches = 6
This means the miniature replica is 1/6th the size of the wall painting.
Now let's express the scale in the context of the options provided. We can say:
1 original unit (the wall painting) corresponds to 6 smaller units (the miniature).
Hence, the scale can be expressed as:
1 foot (12 inches) corresponds to 2 inches on the replica.
The corresponding option is:
2 inches per foot.