A rectangular napkin cost $2.75. The similar tablecloth is five times wider and five times longer. If the cost is proportional to the area of the napkin, how much would you expect to pay for the tablecloth?
•$16.25
•$13.75
•$68.75
•81.25
To find the proportional cost of the tablecloth, first find the area of the napkin:
Area of napkin = length * width = 1 * 1 = 1
Since the tablecloth is five times wider and five times longer, its area is:
Area of tablecloth = 5 * 5 = 25
The cost of the tablecloth would be proportional to the area, so the cost of the tablecloth would be:
Cost of tablecloth = $2.75 * 25 = $68.75
Therefore, you would expect to pay $68.75 for the tablecloth. The correct answer is:
• $68.75