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Ski Resort: Lift Lines and Snowfall Records worksheet preview

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Ski Resort: Lift Lines and Snowfall Records

Identify linear and nonlinear functions using ski lift queues, snowfall records, equations, tables, and graphs.

Grade 8MathInteractive · Printable

Aligned to8.F.A.3

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What’s included

  • Single worksheet
  • Auto-graded online
  • 1 Common Core standard
  • Printable answer key
  • 14 questions
  • Classroom-ready

Details

Format
Interactive · Printable
Grade
Grade 8
Subject
Math
Question types
Fill in the blank, Multiple choice, Circle the answer, Short answer

About this worksheet

What students practice

  • Students recognize linear functions in equations, tables, and straight-line graphs.
  • Students identify nonlinear functions using changing rates and points that do not lie on one line.
  • Students interpret y = mx + b in models of lift queues and snow measurements.

How to use

Use after introducing y = mx + b. Have students annotate changes in the tables and check each model against all given inputs before discussing the final explanation.

Curriculum

Common Core standard covered

8.F.A.3

Read y = mx + b as a linear function whose graph is a straight line, and give examples of functions that are not linear.

Preview

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Ski Resort: Lift Lines and Snowfall Records

Use rules, tables, and graphs to distinguish linear and nonlinear functions.

Lift Queue Records

Read each record carefully. A linear function has a constant rate of change, and its graph lies on one straight line.

1.
The table gives the number of people waiting for a lift. Which statement correctly tests whether one linear function can match every row?
Morning Queue
Minutes, xPeople waiting, y
017
225
537
953
  • A. It can, because each row has more people than the last.
  • B. It cannot, because the time intervals are unequal.
  • C. It cannot, because the increases in people are unequal.
  • D. It can, because each interval adds 4 people per minute.
2.
A second queue record should follow one linear function. The first three rows are correct, but the last row has a recording error.
Queue Record to Correct
Minutes, xPeople waiting, y
046
340
634
930

What number should replace 30?   people

3.
The connected graph shows a lift's predicted wait time before and after noon. Negative x-values mean minutes before noon. What does the graph show?−4−2240−8−7−6−5−4−3−2−112345678Minutes from noonWait (minutes)
  • A. The function is linear; the wait decreases 1 minute every 2 minutes.
  • B. The function is nonlinear; a wait time cannot decrease on a line.
  • C. The function is linear; the wait decreases 2 minutes every minute.
  • D. The function is nonlinear; its graph does not pass through the origin.

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