Understanding Functions in Shipping Costs

The video tutorial explores whether the dollar amount of an order can be represented as a function of shipping costs. It explains that shipping costs are $4 for orders under $20 and $7 for orders $20 or more. The tutorial examines if shipping costs can be used as inputs to determine a unique order amount. It concludes that since multiple order amounts can correspond to a single shipping cost, the relationship is not a function.

What determines the shipping cost for Jada's online order?

• The destination address

• The delivery speed

• The weight of the package

• The dollar amount of the order

What is the shipping cost for orders less than $20?

• $7

• $3

• $5

• $4

What is the shipping cost for orders of $20 or more?

• $5

• $4

• $7

• $6

What is required for the order amount to be a function of shipping costs?

• Shipping costs must be less than $20

• Each shipping cost must map to multiple order amounts

• Each shipping cost must map to exactly one order amount

• Shipping costs must be more than $20

If the shipping cost is $4, what can be said about the order amount?

• It must be exactly $20

• It must be less than $20

• It must be more than $20

• It can be any amount

If the shipping cost is $7, what can be said about the order amount?

• It must be less than $20

• It must be exactly $20

• It can be any amount

• It must be $20 or more

Why can't the order amount be represented as a function of shipping costs?

• Because shipping costs are not defined

• Because shipping costs are too high

• Because each shipping cost maps to multiple order amounts

• Because order amounts are unpredictable

What happens if multiple order amounts correspond to a single shipping cost?

• It becomes a quadratic function

• It is still a function

• It is not a function

• It becomes a linear function

What is the relationship between shipping costs and order amounts?

• Linear

• Non-linear

• Exponential

• Not a function

What is the main conclusion about the relationship between shipping costs and order amounts?

• It is a complex function

• It is a simple function

• It is not a function

• It is a direct function