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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

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

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

To determine the domain interval that will have a shipping rate of $4 based on the provided shipping rates, we need to look for the spending range that corresponds to that rate.

According to the information given:

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

The shipping rate of $4 applies to the spending range from $100 to just below $140, which can be expressed as:

100 ≤ s < 140

Thus, the correct response is:

100≤s<140