Answer: A picnic table is on sale for 60 percent off. The original price of the picnic table is x, $144.10.
Step-by-step explanation:
Given equation: [tex](x)(0.6)=\$86.46[/tex]
To find x, divide 0.6 on both sides, we get
[tex]x=\frac{\$86.46}{0.6}\\\Rightarrow\ x=\frac{\$864.6}{6}\\\Rightarrow\ x=\$144.10[/tex]
Also [tex]0.6=0.6\times100=60\%[/tex]
Thus, [tex]60\%\ of\ \$144.10=\$86.46[/tex]
So the best scenario modeled by the above equation is
"A picnic table is on sale for 60 percent off. The original price of the picnic table is x, $144.10."