The following table shows the price charged by a local courier company to collect and deliver packages.
# of packages Cost ($)
1 15
2 17
3 19
What is the cost to have b packages collected and delivered?
Extend the pattern to find the cost of 8 packages collected and delivered.
Why do you think it costs $15 to collect and deliver one package but only $17 to collect and deliver 2 packages?
15 + 2b = c
15 + 2(8) = 31
What do you think?
How about: Why do you think it costs $15 to collect and deliver one package but only $17 to collect and deliver 2 packages?
How many trips to your door does the delivery person leave one package? How many trips do s/he make to deliver 2 packages at the same time?
What do you mean?
When a delivery person delivers one package, how many trips does s/he make from the truck to your door?
When a delivery person delivers two packages at the same time, how many trips does s/he make from the truck to your door?
10?
5?
Please explain your answer. Does a delivery person walk to your door 10 times to deliver one package?
13 for the drive and 2 for each package.
c = 13 + 2 n
I goofed. Go with Damon's answer.
To find the cost of having "b" packages collected and delivered, we can look for a pattern in the given table.
From the information provided, we can observe that the cost increases by $2 for each additional package.
Therefore, we can use the formula: cost = $15 + ($2 * (b - 1)), where "b" represents the number of packages.
Using this formula, let's calculate the cost of having 8 packages collected and delivered:
cost = $15 + ($2 * (8 - 1))
= $15 + ($2 * 7)
= $15 + $14
= $29
So, the cost of having 8 packages collected and delivered would be $29.
Now, let's answer the question about why it costs $15 to collect and deliver one package but only $17 to collect and deliver 2 packages.
One possible reason for this pricing difference could be economies of scale. A courier company might charge a lower rate per package for multiple packages because it allows them to optimize their resources and reduce costs. For example, collecting and delivering multiple packages within the same area or route may be more efficient and cost-effective for the courier company.
Additionally, the initial cost of collecting and delivering the first package might include some fixed costs that are then spread out over multiple packages. As a result, the marginal cost of collecting and delivering additional packages might be lower, leading to a lower unit cost per package.
It's also worth noting that pricing strategies can vary between companies, so there may be other factors specific to this courier company's pricing structure that are not mentioned in the given information.