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assessment practice 9. an office supply store sells packs of pens. barg…

Question

assessment practice 9. an office supply store sells packs of pens. bargain shoppers have four options. part a complete the table to find the unit price for each option. packs of pens 5 pens for $4.85 12 pens for $11.40 25 pens for $24.50 60 pens for $57.60 unit price part b compare the unit rates found in part a. identify the best value. 70 5-6 compare unit rates

Explanation:

Response
Part A: Calculate Unit Prices

To find the unit price (price per pen) for each pack, we use the formula:
Unit Price = $\frac{\text{Total Price}}{\text{Number of Pens}}$

Step 1: 5 pens for $4.85

Unit Price = $\frac{4.85}{5}$
Calculate: $4.85 \div 5 = 0.97$
Unit Price: $\$0.97$ per pen

Step 2: 12 pens for $11.40

Unit Price = $\frac{11.40}{12}$
Calculate: $11.40 \div 12 = 0.95$
Unit Price: $\$0.95$ per pen

Step 3: 25 pens for $24.50

Unit Price = $\frac{24.50}{25}$
Calculate: $24.50 \div 25 = 0.98$
Unit Price: $\$0.98$ per pen

Step 4: 60 pens for $57.60

Unit Price = $\frac{57.60}{60}$
Calculate: $57.60 \div 60 = 0.96$
Unit Price: $\$0.96$ per pen

Part B: Identify the Best Value

The best value (lowest unit price) is the smallest unit price.

Compare the unit prices:

  • 5 pens: $\$0.97$
  • 12 pens: $\$0.95$
  • 25 pens: $\$0.98$
  • 60 pens: $\$0.96$

The lowest unit price is $\$0.95$ (for 12 pens for $\$11.40$).

Final Table (Part A)
Pack of PensUnit Price
12 pens for $\$11.40$$\$0.95$ per pen
25 pens for $\$24.50$$\$0.98$ per pen
60 pens for $\$57.60$$\$0.96$ per pen
Best Value (Part B)

The pack with the best value (lowest unit price) is **12 pens for $\$11.40$** (unit price: $\$0.95$ per pen).

Answer:

Part A: Calculate Unit Prices

To find the unit price (price per pen) for each pack, we use the formula:
Unit Price = $\frac{\text{Total Price}}{\text{Number of Pens}}$

Step 1: 5 pens for $4.85

Unit Price = $\frac{4.85}{5}$
Calculate: $4.85 \div 5 = 0.97$
Unit Price: $\$0.97$ per pen

Step 2: 12 pens for $11.40

Unit Price = $\frac{11.40}{12}$
Calculate: $11.40 \div 12 = 0.95$
Unit Price: $\$0.95$ per pen

Step 3: 25 pens for $24.50

Unit Price = $\frac{24.50}{25}$
Calculate: $24.50 \div 25 = 0.98$
Unit Price: $\$0.98$ per pen

Step 4: 60 pens for $57.60

Unit Price = $\frac{57.60}{60}$
Calculate: $57.60 \div 60 = 0.96$
Unit Price: $\$0.96$ per pen

Part B: Identify the Best Value

The best value (lowest unit price) is the smallest unit price.

Compare the unit prices:

  • 5 pens: $\$0.97$
  • 12 pens: $\$0.95$
  • 25 pens: $\$0.98$
  • 60 pens: $\$0.96$

The lowest unit price is $\$0.95$ (for 12 pens for $\$11.40$).

Final Table (Part A)
Pack of PensUnit Price
12 pens for $\$11.40$$\$0.95$ per pen
25 pens for $\$24.50$$\$0.98$ per pen
60 pens for $\$57.60$$\$0.96$ per pen
Best Value (Part B)

The pack with the best value (lowest unit price) is **12 pens for $\$11.40$** (unit price: $\$0.95$ per pen).