Homework Explained - Math Practice 101

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Grade 7 HMH Go Math - Answer Keys


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  Unit 3 Performance Tasks  

  • Question 1 (request help)

    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 (request help)

    b. Identify the rate of change and the constant of proportionality.

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  • Question 1 (request help)

    c. What is the meaning of the constant of proportionality in the context of the problem?

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  • Question 1 (request help)

    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.

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  • Question 2 (request help)

    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 (request help)

    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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Yes, email page to my online tutor. (if you didn't add a tutor yet, you can add one here)