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Larry has \[tex]$20 to spend at the store. He plans to purchase five items that cost \$[/tex]5.79, \[tex]$7.63, \$[/tex]3.46, \[tex]$2.99, and \$[/tex]3.65. Larry estimated his total cost to make sure he has enough money for his purchases. Is his estimate accurate? Explain why or why not.

Estimate:
[tex]\[ \$5 + \$7 + \$3 + \$2 + \$3 = \$20 \][/tex]



Answer :

GinnyAnswer
Let's go step-by-step to determine if Larry's estimate of the total cost is accurate.

1. List of Actual Item Costs:
- Item 1: [tex]$5.79 - Item 2: $[/tex]7.63
- Item 3: [tex]$3.46 - Item 4: $[/tex]2.99
- Item 5: [tex]$3.65 2. List of Larry's Estimated Costs: - Item 1: $[/tex]5
- Item 2: [tex]$7 - Item 3: $[/tex]3
- Item 4: [tex]$2 - Item 5: $[/tex]3

3. Calculate the Actual Total Cost of the Items:
[tex]\[ 5.79 + 7.63 + 3.46 + 2.99 + 3.65 = 23.52 \][/tex]

This means the actual total cost for all the items is \[tex]$23.52. 4. Calculate the Total of Larry’s Estimates: \[ 5 + 7 + 3 + 2 + 3 = 20 \] This means Larry's estimated total cost for all the items is \$[/tex]20.

5. Compare the Actual Total Cost to Larry’s Estimate and His Budget:
- Larry has [tex]$\$[/tex] 20[tex]$ to spend. - His estimated total cost is $[/tex]\[tex]$ 20$[/tex].
- The actual total cost is [tex]$\$[/tex] 23.52[tex]$. 6. Determine if the Estimate is Accurate: - Larry's estimated total price (\$[/tex]20) matches his budget (\[tex]$20), but it does not reflect the true cost of the items. - The actual cost of the items (\$[/tex]23.52) exceeds both his estimate (\[tex]$20) and his budget (\$[/tex]20).

Therefore, Larry's estimate is not accurate. The actual total cost exceeds the amount of money he has, and thus, he does not have sufficient funds to buy all the items with the money available.

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