Which scenario is modeled by the equation (x)(0.6) = $86.46?
A picnic table is on sale for 60 percent off. The sale price of the picnic table is x, $144.10.
A picnic table is on sale for 40 percent off. The sale price of the picnic table is x, $144.10
A picnic table is on sale for 60 percent off. The original price of the picnic table is x, $144.10.
A picnic table is on sale for 40 percent off. The original price of the picnic table is x, $144.10

Respuesta :

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."