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Grade 7 HMH Go Math - Answer Keys
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Unit 3 Performance Tasks
Question 1
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Mechanical Engineer
A mechanical engineer is testing the amount of force needed to make a spring stretch by a given amount. The force y is measured in units called Newtons, abbreviated N. The stretch x is measured in centimeters. Her results are shown in the graph.
a . Write an equation for the line. Explain, using the graph and then using the equation, why the relationship is proportional.
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Question 1
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b . Identify the rate of change and the constant of proportionality.
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Question 1
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c . What is the meaning of the constant of proportionality in the context of the problem?
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Question 1
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d . The engineer applies a force of 41.6 Newtons to the spring. Write and solve an equation to find the corresponding stretch in the spring.
Question 2
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A math tutor charges $30 for a consultation, and then $25 per hour. An online tutoring service charges $30 per hour.
a . Does either service represent a proportional relationship? Explain.
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Question 2
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b . Write an equation for the cost c of h hours of tutoring for either service. Which service charges less for 4 hours of tutoring? Show your work.
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