A rectangular napkin costs $3.25. A similar tablecloth is five times longer and five times wider. If the cost is proportional to the area of the napkin, how much would you expect to pay for the tablecloth?
(1 point)
Responses
$81.25
$81.25
$48.75
$48.75
$16.25
$16.25
$32.50
To find the cost of the tablecloth, we need to first find its area.
Let's say that the length of the napkin is L and the width is W.
So, the area of the napkin is L * W.
The tablecloth is five times longer and five times wider than the napkin.
Therefore, the length of the tablecloth is 5L and the width is 5W.
The area of the tablecloth would then be (5L) * (5W) = 25(L * W), which is equal to 25 times the area of the napkin.
Since the cost is proportional to the area, we can find the cost of the tablecloth by multiplying the cost of the napkin by 25.
The cost of the napkin is $3.25, so the cost of the tablecloth would be 25 * $3.25 = $<<25*3.25=81.25>>81.25.
Therefore, you would expect to pay $81.25 for the tablecloth. The answer is:
$81.25