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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

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

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

100≤s<140

Answer 1

To determine the correct domain interval for a shipping rate of $4 based on the information provided, we need to identify the range of spending amounts that corresponds to this rate.

According to the described shipping rates:

• For spending under $50, the rate is $10.
• For spending from $50 to under $100, the rate is $7.
• For spending from $100 to under $140, the rate is $4.
• For spending $140 and over, the rate is $2.

Thus, the shipping rate of $4 applies when a customer spends from $100 to under $140.

Given this, the correct interval notation for spending amounts that will incur a shipping rate of $4 is:

100 ≤ s < 140

Therefore, the response is:

100≤s<140