Let's first examine the given prices for both sets of fabrics and find out the price per square yard for each.
### Set 1: Price of Fleece
1. For 1 square yard: \[tex]$1.25
- Price per square yard: \$[/tex]1.25 / 1 = \[tex]$1.25
2. For 2 square yards: \$[/tex]2.00
- Price per square yard: \[tex]$2.00 / 2 = \$[/tex]1.00
3. For 3 square yards: \[tex]$2.75
- Price per square yard: \$[/tex]2.75 / 3 ≈ \[tex]$0.9167
4. For 4 square yards: \$[/tex]3.50
- Price per square yard: \[tex]$3.50 / 4 = \$[/tex]0.875
The prices per square yard for Set 1 are: [\[tex]$1.25, \$[/tex]1.00, \[tex]$0.9167, \$[/tex]0.875]
### Set 2: Price of Fleece
1. For 1 square yard: \[tex]$0.25
- Price per square yard: \$[/tex]0.25 / 1 = \[tex]$0.25
2. For 2 square yards: \$[/tex]1.25
- Price per square yard: \[tex]$1.25 / 2 = \$[/tex]0.625
3. For 3 square yards: \[tex]$2.25
- Price per square yard: \$[/tex]2.25 / 3 = \[tex]$0.75
4. For 4 square yards: \$[/tex]3.25
- Price per square yard: \[tex]$3.25 / 4 = \$[/tex]0.8125
The prices per square yard for Set 2 are: [\[tex]$0.25, \$[/tex]0.625, \[tex]$0.75, \$[/tex]0.8125]
### Average Price Per Square Yard
To find the average price per square yard for both sets:
#### Set 1:
[tex]\[ \text{Average price per square yard} = \frac{(\$1.25 + \$1.00 + \$0.9167 + \$0.875)}{4} \approx \$1.0104 \][/tex]
#### Set 2:
[tex]\[ \text{Average price per square yard} = \frac{(\$0.25 + \$0.625 + \$0.75 + \$0.8125)}{4} \approx \$0.6094 \][/tex]
Based on the above calculations, we can conclude the following:
- There is a price per square yard of \[tex]$1.25 in Set 1 at 1 square yard.
- The function showing this price of \$[/tex]1.25 per square yard is found in Set 1 where the price for exactly 1 square yard is \$1.25.
