Question

Shipping brothers incorporated charges customers based on the weight of their package the charge $5 for shipping packages that are less than 30 lb they charge $10 for shipping packages that are 30 lbs to less than 50 lb they charge $15 for shipping packages that are 50 pounds or less than 75 lb they charged $20 for shipping packages that are $75 pounds or heavier based on the graph find approximate interval of can't for $410 shipping rate

Answer 1

To determine the approximate interval of weight for a shipping charge of $410 based on the provided pricing structure, let’s break it down:

1. Weight < 30 lb: $5
2. 30 lb ≤ Weight < 50 lb: $10
3. 50 lb ≤ Weight < 75 lb: $15
4. Weight ≥ 75 lb: $20

To find the weight range for a shipping rate of $410:

1. Calculate how much of $410 goes towards each weight category:

   • For packages under 30 lb: Each package costs $5. Therefore: \[ \text{Number of packages} = \frac{410}{5} = 82 \text{ packages} \]
   • For packages between 30 lb and 50 lb: Each package costs $10. Therefore: \[ \text{Number of packages} = \frac{410}{10} = 41 \text{ packages} \]
   • For packages between 50 lb and 75 lb: Each package costs $15. Therefore: \[ \text{Number of packages} = \frac{410}{15} \approx 27.33 \text{ packages} \]
   • For packages 75 lb or heavier: Each package costs $20. Therefore: \[ \text{Number of packages} = \frac{410}{20} = 20.5 \text{ packages} \]

2. Interpreting these results:

   • If shipping for packages less than 30 lb, 82 packages could be shipped.
   • If for packages between 30 lb and 50 lb, it would be 41 packages.
   • For packages between 50 lb and 75 lb, around 27 packages can be shipped.
   • For heavier packages (75 lb and above), around 20 packages can be shipped.

Since the question is about the shipping rate of $410, we can conclude:

• The shipping rate of $410 could be applicable for packages weighing at least 75 lbs, but the actual shipping cost indicates that the total weight could be varying based on how many packages you are sending.

Conclusion: You can send up to 20 packages that weigh 75 lbs each, or you may have a combination of lighter packages leading up to a total shipping cost of $410 within the defined weight ranges.

The interval of weight for the $410 shipping cost primarily uniquely matches or exceeds 75 lbs per package since this category typically charges the highest rate ($20). However, you could also send multiple packages in smaller weight categories that add up to $410 in shipping costs under different weight combinations.