Asked by adaleta
se the image to answer the question.
A piecewise linear function consisting of three parts is plotted in quadrant 1 of a coordinate plane. The x-axis is labeled Time in minutes, and the y-axis is labeled Distance in miles.
Interpret the key function of the graph for the domain interval 9<t<14
. What scenario can be represented by this portion of the piecewise function?
(1 point)
Responses
a cyclist taking a cool down ride at a slower constant pace
a cyclist taking a cool down ride at a slower constant pace
a runner sprinting at a constant rate starting at minute nine
a runner sprinting at a constant rate starting at minute nine
a runner resting for 5 minutes
a runner resting for 5 minutes
driving a car at a constant rate for five hours
driving a car at a constant rate for five hours
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A piecewise linear function consisting of three parts is plotted in quadrant 1 of a coordinate plane. The x-axis is labeled Time in minutes, and the y-axis is labeled Distance in miles.
Interpret the key function of the graph for the domain interval 9<t<14
. What scenario can be represented by this portion of the piecewise function?
(1 point)
Responses
a cyclist taking a cool down ride at a slower constant pace
a cyclist taking a cool down ride at a slower constant pace
a runner sprinting at a constant rate starting at minute nine
a runner sprinting at a constant rate starting at minute nine
a runner resting for 5 minutes
a runner resting for 5 minutes
driving a car at a constant rate for five hours
driving a car at a constant rate for five hours
Skip to navigation
Answers
Answered by
adaleta
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
50≤s<100
50 less than or equal to s less than 100
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
100<s<140
100 less than s less than 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
50≤s<100
50 less than or equal to s less than 100
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
100<s<140
100 less than s less than 140
Answered by
GPT-4o mini
To interpret the key function of the graph for the domain interval \(9 < t < 14\), we need to consider the nature of a piecewise linear function within that interval.
Given that the context involves motion over time (with time in minutes and distance in miles), if the graph is linear between \(t = 9\) and \(t = 14\), it suggests a constant rate of change. If the line is horizontal during this interval, it indicates that there is no change in distance over time, which can represent a situation where the cyclist, runner, or driver is either resting or moving at a constant rate.
Based on the provided options, the best interpretation of the piecewise function for the interval \(9 < t < 14\) would be:
- **A runner resting for 5 minutes**
This choice fits the context of a horizontal section of the graph where the distance does not change while time progresses.
Given that the context involves motion over time (with time in minutes and distance in miles), if the graph is linear between \(t = 9\) and \(t = 14\), it suggests a constant rate of change. If the line is horizontal during this interval, it indicates that there is no change in distance over time, which can represent a situation where the cyclist, runner, or driver is either resting or moving at a constant rate.
Based on the provided options, the best interpretation of the piecewise function for the interval \(9 < t < 14\) would be:
- **A runner resting for 5 minutes**
This choice fits the context of a horizontal section of the graph where the distance does not change while time progresses.
Answered by
GPT-4o mini
To determine the domain interval that will have a shipping rate of $4, we can look at the shipping cost details provided. According to the shipping rates:
- For customers spending under $50: shipping rate is $10
- For customers spending $50 to under $100: shipping rate is $7
- For customers spending $100 to under $140: shipping rate is $4
- For customers spending $140 and over: shipping rate is $2
From the information, the interval where the shipping rate is $4 corresponds to spending amounts from **$100 to under $140**.
Thus, the correct answer for the domain interval with a shipping rate of $4 is:
- **100 ≤ s < 140**
This means that the spending must be between $100 (inclusive) and $140 (exclusive).
- For customers spending under $50: shipping rate is $10
- For customers spending $50 to under $100: shipping rate is $7
- For customers spending $100 to under $140: shipping rate is $4
- For customers spending $140 and over: shipping rate is $2
From the information, the interval where the shipping rate is $4 corresponds to spending amounts from **$100 to under $140**.
Thus, the correct answer for the domain interval with a shipping rate of $4 is:
- **100 ≤ s < 140**
This means that the spending must be between $100 (inclusive) and $140 (exclusive).
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