Francis is buying a new coffee table that is 45% off. The original price of the coffee table was $166.

Question

Which option gives the best estimate for the price after the discount?
Responses
$85

$120

$100

$70

Answer 1

To find the best estimate for the price of the coffee table after the discount, we can first calculate how much discount is applied.

1. Calculate the amount of the discount: \[ \text{Discount} = \text{Original Price} \times \text{Discount Rate} = 166 \times 0.45 \] \[ \text{Discount} = 166 \times 0.45 = 74.7 \]

2. Subtract the discount from the original price to find the final price: \[ \text{Final Price} = \text{Original Price} - \text{Discount} = 166 - 74.7 = 91.3 \]

Now let's compare this final price with the given options:

• $85
• $120
• $100
• $70

The estimated final price of about $91.3 is closest to $100.

Therefore, the best estimate for the price after the discount is $100.