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Which function shows a fabric with a price of [tex]$\$ 1.25[tex]$[/tex] per square yard?

Price of Fleece:
\begin{tabular}{|l|c|c|c|c|}
\hline Square Yards & 1 & 2 & 3 & 4 \\
\hline Price & $[/tex]\[tex]$ 1.25$[/tex] & [tex]$\$[/tex] 2.00[tex]$ & $[/tex]\[tex]$ 2.75$[/tex] & [tex]$\$[/tex] 3.50[tex]$ \\
\hline
\end{tabular}

\ \textless \ strong\ \textgreater \ Price of Fleece:\ \textless \ /strong\ \textgreater \
\begin{tabular}{|l|c|c|c|c|}
\hline Square Yards & 1 & 2 & 3 & 4 \\
\hline Price & $[/tex]\[tex]$ 0.25$[/tex] & [tex]$\$[/tex] 1.25[tex]$ & $[/tex]\[tex]$ 2.25$[/tex] & [tex]$\$[/tex] 3.25$ \\
\hline
\end{tabular}


Sagot :

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.