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Question

A step function consisting of four line segments is plotted in quadrant 1 of a coordinate plane.

The cost for shipping by the Boston Mailing Company is based on the amount that a customer spends. For customers spending under $50, the shipping rate is $10; for $50 to under $100, the shipping rate is $7; for $100 to under $140, the shipping rate is $4; for $140 and over the shipping rate is $2. What domain interval will have a shipping rate of $4?

(1 point)
Responses

100<s<140
100 less than s less than 140

50≤s<100
50 less than or equal to s less than 100

100≤s<140
100 less than or equal to s less than 140

100<s≤140
100 less than s less than or equal to 140
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Answer 1

To determine the correct domain interval for a shipping rate of $4, we need to look at the provided shipping rates based on spending:

• For spending under $50: shipping rate is $10
• For spending from $50 to under $100: shipping rate is $7
• For spending from $100 to under $140: shipping rate is $4
• For spending $140 and over: shipping rate is $2

The shipping rate of $4 applies to spending from $100 to under $140. This can be expressed in interval notation as:

\[ 100 \leq s < 140 \]

Therefore, the correct response is:

100≤s<140 (100 less than or equal to s less than 140)