Question
Use the image to answer the 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
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
Answers
GPT-4o mini
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**
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**