Question

Determine the following estimate without using a calculator. Then use a calculator to perform the computation necessary to obtain an exact answer. How reasonable is your estimate when compared to the actual answer? Estimate the total cost of six grocery items if their prices are $3.51, $1.36, $13.02, $11.08, $4.12, and $12.86, by rounding each price to the nearest dollar and then adding The estimate of the total cost of the grocery items is $□ (Type a whole number.) The actual total cost of the grocery items is $□ How reasonable is your estimate when compared to the actual answer? Select the correct answer below and fill in the answer box to complete your choice.

A. The estimate is a little higher than the actual result. The difference is $□

B. The estimate is a little lower than the actual result. The difference is $□

Answer 1

The estimated total cost of the grocery items after rounding each to the nearest dollar is $46, while the actual total cost is $46.95. The estimate is slightly lower than the actual total, with a difference of $0.95.

Step-by-step explanation:

To estimate the total cost of the six grocery items by rounding to the nearest dollar:

• 
  
• $3.51 rounds to $4
• 
  
• $1.36 rounds to $1
• 
  
• $13.02 rounds to $13
• 
  
• $11.08 rounds to $11
• 
  
• $4.12 rounds to $4
• 
  
• $12.86 rounds to $13

Adding the rounded numbers gives us an estimated total of $4 + $1 + $13 + $11 + $4 + $13 = $46.

To find the actual total cost, we add the original prices:

$3.51 + $1.36 + $13.02 + $11.08 + $4.12 + $12.86 = $46.95.

The estimate is a little lower than the actual result. The difference is $46.95 - $46 = $0.95.

Your answer is:

The estimate of the total cost of the grocery items is $46 (Type a whole number.)

The actual total cost of the grocery items is $46.95.

The estimate is a little lower than the actual result. The difference is $0.95.