Answer :
We start with the equation
[tex]$$
0.65x = 36.48.
$$[/tex]
This equation tells us that 65% of a number [tex]$x$[/tex] is \[tex]$36.48. To find $[/tex]x[tex]$, we divide both sides of the equation by 0.65:
$[/tex][tex]$
x = \frac{36.48}{0.65}.
$[/tex][tex]$
Performing the division gives
$[/tex][tex]$
x \approx 56.12.
$[/tex][tex]$
Thus, $[/tex]x[tex]$ represents the original price of the boots, which is approximately \$[/tex]56.12, and the boots are on sale for 65% of that original price (resulting in the sale price of \[tex]$36.48).
Matching this information with the provided scenarios, we see that the scenario which states:
"A pair of boots is on sale for 65 percent of the original cost. The original price of the boots is $[/tex]x, \[tex]$56.12$[/tex]."
best fits the model given by the equation.
Therefore, the correct answer is scenario 3.
[tex]$$
0.65x = 36.48.
$$[/tex]
This equation tells us that 65% of a number [tex]$x$[/tex] is \[tex]$36.48. To find $[/tex]x[tex]$, we divide both sides of the equation by 0.65:
$[/tex][tex]$
x = \frac{36.48}{0.65}.
$[/tex][tex]$
Performing the division gives
$[/tex][tex]$
x \approx 56.12.
$[/tex][tex]$
Thus, $[/tex]x[tex]$ represents the original price of the boots, which is approximately \$[/tex]56.12, and the boots are on sale for 65% of that original price (resulting in the sale price of \[tex]$36.48).
Matching this information with the provided scenarios, we see that the scenario which states:
"A pair of boots is on sale for 65 percent of the original cost. The original price of the boots is $[/tex]x, \[tex]$56.12$[/tex]."
best fits the model given by the equation.
Therefore, the correct answer is scenario 3.
