Homework Explained - Math Practice 101

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Grade 8 HMH Go Math - Answer Keys
Chapter 5: Writing Linear Equations; Lesson 1: Writing Linear Equations from Situations and Graphs

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  Independent Practice  

  • Question 5 (request help)

    A dragonfly can beat its wings 30 times per second. Write an equation in slope-intercept form that shows the relationship between flying time in seconds and the number of times the dragonfly beats its wings

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  • Question 6 (request help)

    A balloon is released from the top of a platform that is 50 meters tall. The balloon rises at the rate of 4 meters per second. Write an equation in slope-intercept form that tells the height of the balloon above the ground after a given number of seconds.

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The graph shows a scuba diver’s ascent over time.

  • Question 7 (request help)

    Use the graph to find the slope of the line. Tell what the slope means in this context.

  • Slope =   meters per second
  • Question 8 (request help)

    Identify the y-intercept. Tell what the y-intercept means in this context.

  • y-intercept=   meters
  • Question 9 (request help)

    Write an equation in slope-intercept form that represents the diver’s depth over time.

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  • Question 10 (request help)

    The formula for converting Celsius temperatures to Fahrenheit temperatures is a linear equation. Water freezes at \( 0^{o}\)C, or \(32^{o}\)F, and it boils at \(100 ^{o}\)C, or \(212^{o} \)F. Find the slope and y-intercept for a graph that gives degrees Celsius on the horizontal axis and degrees Fahrenheit on the vertical axis. Then write an equation in slope-intercept form that converts degrees Celsius into degrees Fahrenheit.

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  • Question 11 (request help)

    The cost of renting a sailboat at a lake is $20 per hour plus $12 for lifejackets. Write an equation in slope-intercept form that can be used to calculate the total amount you would pay for using this sailboat.

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