Homework Explained - Math Practice 101

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Grade 7 HMH Go Math - Answer Keys
Chapter 4: Rates and Proportionality; Lesson 2: Constant Rates of Change


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A submarine dives 300 feet every 2 minutes, and 6,750 feet every 45 minutes.

  • Question 13 (request help)

    Find the constant rate at which the submarine dives. Give your answer in feet per minute and in feet per hour.

  •     feet per minute
        feet per hour
  • Question 14 (request help)

    Let x represent the time of the dive. Let y represent the depth of the submarine. Write an equation for the proportional relationship using the rate in feet per minute.

  • Type below:
  • Question 15 (request help)

    Draw Conclusions

    If you wanted to find the depth of a submarine during a dive, would it be more reasonable to use an equation with the rate in feet per minute or feet per hour? Explain your reasoning.

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  H.O.T.  

  Focus on Higher Order Thinking  

  • Question 16 (request help)

    Make a Conjecture

    There is a proportional relationship between your distance from a thunderstorm and the time from when you see lightning and hear thunder. If there are 9 seconds between lightning and thunder, the storm is about 3 kilometers away. If you double the amount of time between lightning and thunder, do you think the distance in kilometers also double? justify your reasoning.

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  • Question 17 (request help)

    Communicate Mathematical Ideas

    A store sells 3 ears of corn for $1. They round prices to the nearest cent as shown in the table. Tell whether you would describe the relationship between cost and number of ears of corn as a proportional relationship. Justify your answer.

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  • Question 18 (request help)

    Jack is 12 and his sister Sophia is 16. Jack says that the relationship between his age and Sophia's age is proportional and the constant of proportionality is \(\large\frac{12}{16}\) Do you agree? Explain.

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  • Question 19 (request help)

    Luke's turkey chili recipe calls for 1.5 pounds of ground turkey for every 6 servings. How many servings can he make if he has 5 pounds of ground turkey? Show your work.

  •    servings

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