Answer :
To determine which table shows a fabric with a price of [tex]$1.25$[/tex] per square yard, we need to analyze the price increments for each square yard in both tables.
### Table 1
[tex]\[ \begin{array}{|l|c|c|c|c|} \hline \text{Square Yards} & 1 & 2 & 3 & 4 \\ \hline \text{Price (\$)} & 1.25 & 2.00 & 2.75 & 3.50 \\ \hline \end{array} \][/tex]
Calculate the difference in price for each additional square yard:
- From 1 to 2 square yards: [tex]\(2.00 - 1.25 = 0.75\)[/tex]
- From 2 to 3 square yards: [tex]\(2.75 - 2.00 = 0.75\)[/tex]
- From 3 to 4 square yards: [tex]\(3.50 - 2.75 = 0.75\)[/tex]
We see that the price increase per yard is [tex]$0.75$[/tex].
### Table 2
[tex]\[ \begin{array}{|l|c|c|c|c|} \hline \text{Square Yards} & 1 & 2 & 3 & 4 \\ \hline \text{Price (\$)} & 0.25 & 1.25 & 2.25 & 3.25 \\ \hline \end{array} \][/tex]
Calculate the difference in price for each additional square yard:
- From 1 to 2 square yards: [tex]\(1.25 - 0.25 = 1.00\)[/tex]
- From 2 to 3 square yards: [tex]\(2.25 - 1.25 = 1.00\)[/tex]
- From 3 to 4 square yards: [tex]\(3.25 - 2.25 = 1.00\)[/tex]
We see that the price increase per yard is [tex]$1.00$[/tex].
### Conclusion
Comparing the calculated price increases with the expected price of [tex]$1.25$[/tex] per square yard,
- Table 1 shows an increase of [tex]$0.75$[/tex] per yard.
- Table 2 shows an increase of [tex]$1.00$[/tex] per yard.
Since neither table shows a price of [tex]$1.25$[/tex] per square yard, the answer is:
[tex]\[ (\text{False}, \text{False}) \][/tex]
Neither table accurately represents a fabric that costs [tex]$1.25$[/tex] per square yard.
### Table 1
[tex]\[ \begin{array}{|l|c|c|c|c|} \hline \text{Square Yards} & 1 & 2 & 3 & 4 \\ \hline \text{Price (\$)} & 1.25 & 2.00 & 2.75 & 3.50 \\ \hline \end{array} \][/tex]
Calculate the difference in price for each additional square yard:
- From 1 to 2 square yards: [tex]\(2.00 - 1.25 = 0.75\)[/tex]
- From 2 to 3 square yards: [tex]\(2.75 - 2.00 = 0.75\)[/tex]
- From 3 to 4 square yards: [tex]\(3.50 - 2.75 = 0.75\)[/tex]
We see that the price increase per yard is [tex]$0.75$[/tex].
### Table 2
[tex]\[ \begin{array}{|l|c|c|c|c|} \hline \text{Square Yards} & 1 & 2 & 3 & 4 \\ \hline \text{Price (\$)} & 0.25 & 1.25 & 2.25 & 3.25 \\ \hline \end{array} \][/tex]
Calculate the difference in price for each additional square yard:
- From 1 to 2 square yards: [tex]\(1.25 - 0.25 = 1.00\)[/tex]
- From 2 to 3 square yards: [tex]\(2.25 - 1.25 = 1.00\)[/tex]
- From 3 to 4 square yards: [tex]\(3.25 - 2.25 = 1.00\)[/tex]
We see that the price increase per yard is [tex]$1.00$[/tex].
### Conclusion
Comparing the calculated price increases with the expected price of [tex]$1.25$[/tex] per square yard,
- Table 1 shows an increase of [tex]$0.75$[/tex] per yard.
- Table 2 shows an increase of [tex]$1.00$[/tex] per yard.
Since neither table shows a price of [tex]$1.25$[/tex] per square yard, the answer is:
[tex]\[ (\text{False}, \text{False}) \][/tex]
Neither table accurately represents a fabric that costs [tex]$1.25$[/tex] per square yard.