Explanation:
To calculate the unit rate, we need to determine the ratio of width to length in simplified form. Given that the width to length ratio is 1 1/4 : 2 1/2 inches, we can convert these mixed numbers to improper fractions:
Width: 1 1/4 = 5/4 inches
Length: 2 1/2 = 5/2 inches
Now, we can express the ratio of width to length as a fraction:
Ratio = Width/Length = (5/4) / (5/2)
To divide by a fraction, we can multiply by its reciprocal:
Ratio = (5/4) * (2/5)
Simplifying the multiplication:
Ratio = 10/20
Reducing the fraction to its simplest form:
Ratio = 1/2
Therefore, the unit rate for Kyle's glass mosaic is 1/2 inch of width per 1 inch of length.