Answered

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For \[tex]$5.60, a chicken salad sandwich for \$[/tex]5.40, two coffees totaling \[tex]$3.40, apple pie for \$[/tex]2.85, and chocolate cake for \[tex]$3.95.

a) Round the cost of each item to the nearest dollar and obtain an estimate for the food bill.
b) The total bill before tax was given as \$[/tex]29.85. Is this amount reasonable?

a)
[tex]\[
\begin{aligned}
\$ 5.60 + \$ 5.40 + \$ 3.40 + \$ 2.85 + \$ 3.95 \\
& \approx \$ 6 + \$ 5 + \$ 3 + \$ 3 + \$ 4 \\
& = \$ 21
\end{aligned}
\][/tex]

b) The given bill of \[tex]$29.85 is not reasonable based on the rounded estimate of \$[/tex]21.

Sagot :

GinnyAnsweridn
Certainly, let's go through this step-by-step.

### Part (a)
1. List of Item Costs:
- Turkey sandwich: \[tex]$5.60 - Chicken salad sandwich: \$[/tex]5.40
- Two coffees: \[tex]$3.40 - Apple pie: \$[/tex]2.85
- Chocolate cake: \[tex]$3.95 2. Round Each Cost to the Nearest Dollar: - Turkey sandwich ( \$[/tex]5.60 ) rounds to \[tex]$6. - Chicken salad sandwich ( \$[/tex]5.40 ) rounds to \[tex]$5. - Two coffees ( \$[/tex]3.40 ) round to \[tex]$3. - Apple pie ( \$[/tex]2.85 ) rounds to \[tex]$3. - Chocolate cake ( \$[/tex]3.95 ) rounds to \[tex]$4. 3. Estimated Total for the Rounded Costs: \[ 6 + 5 + 3 + 3 + 4 = 21 \] ### Part (b) Now let's analyze the given total bill before tax, which is \$[/tex]29.85.

1. Compare Given Bill to the Rounded Total:
- Estimated rounded total: \[tex]$21 - Given bill: \$[/tex]29.85

Since \[tex]$29.85 is significantly higher than \$[/tex]21, we can conclude that the given bill is not reasonable based on our rounded estimate. The rounded total serves as an approximate value; real totals should be relatively close, accounting for possible unrounded decimals, but a significant difference such as \[tex]$8.85 suggests potential discrepancies like additional items, fees, or mistakes. ### Summary: - Estimated Food Bill (Rounded): \$[/tex]21
- Given Bill: \[tex]$29.85 - Conclusion: The given bill of \$[/tex]29.85 is not reasonable based on our estimated total of \$21.
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