For orders shipped to Europe, the shipping cost for the United States is doubled. Welcome to Europe! Fill in the Shipping Costs table from above to show the shipping costs to Europe. Then use a different color to make a graph of the shipping costs to Europe versus the order total on the same coordinate plane. Once both sets of data are graphed on the same coordinate plane, answer the following questions: 1. How do the graphs compare? 2. How do step functions compare to linear functions? Determine if step and linear functions are continuous functions. 3. How is multiplying a step function by a constant multiplier similar to multiplying the slope of a linear function by a constant multiplier? 4. What are some other situations that can be modeled using a step function that you should take into consideration when starting up your own company? You have finally started up your own business and have come to realize that there is a lot more involved than what you originally thought! One of the things you need to consider is how much it will cost you to ship your products both within the United States and outside of the United States. After some research, you have gathered the information below. Shipping Costs Order Total Continental United States Europe Less than $25.00 $5.00 $25.00-$74.99 $10.00 $15.00 $20.00 $25.00 $75.00-$124.99 $125.00-$349.99 $350.00 and greater Using the information from above, graph the shipping costs versus the order total on the coordinate plane below. Shipping Costs Shipping Cost (dollars) 50 45 40 35 30- 25 20 15 10 5 25 50 75 100 125 150 175 200 225 250 275 300 325 350 375 400 Order Total (dollars)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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For orders shipped to Europe, the shipping cost for the United States is doubled.
Welcome to Europe!
Fill in the Shipping Costs table from above to show the shipping costs to Europe. Then use a different color to make a
graph of the shipping costs to Europe versus the order total on the same coordinate plane. Once both sets of data are
graphed on the same coordinate plane, answer the following questions:
1. How do the graphs compare?
2. How do step functions compare to linear functions? Determine if step and linear functions are continuous
functions.
3. How is multiplying a step function by a constant multiplier similar to multiplying the slope of a linear function by
a constant multiplier?
4. What are some other situations that can be modeled using a step function that you should take into
consideration when starting up your own company?
Transcribed Image Text:For orders shipped to Europe, the shipping cost for the United States is doubled. Welcome to Europe! Fill in the Shipping Costs table from above to show the shipping costs to Europe. Then use a different color to make a graph of the shipping costs to Europe versus the order total on the same coordinate plane. Once both sets of data are graphed on the same coordinate plane, answer the following questions: 1. How do the graphs compare? 2. How do step functions compare to linear functions? Determine if step and linear functions are continuous functions. 3. How is multiplying a step function by a constant multiplier similar to multiplying the slope of a linear function by a constant multiplier? 4. What are some other situations that can be modeled using a step function that you should take into consideration when starting up your own company?
You have finally started up your own business and have come to realize that there is a lot more involved than what you originally
thought! One of the things you need to consider is how much it will cost you to ship your products both within the United States and
outside of the United States. After some research, you have gathered the information below.
Shipping Costs
Order Total
Continental
United States
Europe
Less than $25.00
$5.00
$25.00-$74.99
$10.00
$15.00
$20.00
$25.00
$75.00-$124.99
$125.00-$349.99
$350.00 and greater
Using the information from above, graph the shipping costs versus the order total on the coordinate plane below.
Shipping Costs
Shipping Cost (dollars)
50
45
40
35
30-
25
20
15
10
5
25 50 75 100 125 150 175 200 225 250 275 300 325 350 375 400
Order Total (dollars)
Transcribed Image Text:You have finally started up your own business and have come to realize that there is a lot more involved than what you originally thought! One of the things you need to consider is how much it will cost you to ship your products both within the United States and outside of the United States. After some research, you have gathered the information below. Shipping Costs Order Total Continental United States Europe Less than $25.00 $5.00 $25.00-$74.99 $10.00 $15.00 $20.00 $25.00 $75.00-$124.99 $125.00-$349.99 $350.00 and greater Using the information from above, graph the shipping costs versus the order total on the coordinate plane below. Shipping Costs Shipping Cost (dollars) 50 45 40 35 30- 25 20 15 10 5 25 50 75 100 125 150 175 200 225 250 275 300 325 350 375 400 Order Total (dollars)
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