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School Roof Solar: Energy Models worksheet preview

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School Roof Solar: Energy Models

Students build linear functions for a school solar project using words, tables, graphs, and two points, then interpret rates and initial values.

Grade 8MathInteractive · Printable

Aligned to8.F.B.4

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What’s included

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

Details

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

About this worksheet

What students practice

  • Students find rates of change and initial values from words, tables, graphs, and two points.
  • Students write linear functions and interpret their coefficients in a school solar project.
  • Students adjust linear models when the starting time or project conditions change.

How to use

Use after introducing y = mx + b. Have students show slope calculations beside each model, then discuss how the meaning of x determines the initial value.

Curriculum

Common Core standard covered

8.F.B.4

Write a function for a linear relationship, finding its rate of change and initial value from words, two points, a table, or a graph.

Preview

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Name Date

School Roof Solar: Energy Models

Build linear functions from project records, graphs, and descriptions.

Project Records

Assume each relationship is linear over the stated interval. Use y = mx + b, where m is the rate of change and b is the value when x = 0.

1.
The school checks its solar energy meter during a steady-output test. Let x be hours since the test began and y be the meter reading in kilowatt-hours (kWh).
Solar Meter Readings
Time (hours)Reading (kWh)
19
319
634

Complete the model: y =  x +  .

2.
The roof installation requires a $450 inspection plus $175 for each panel mounting kit. Let x be the number of kits and y be the combined cost in dollars. Which function models this cost?
  • A. y = 175x + 450
  • B. y = 625x
  • C. y = 450x + 175
  • D. y = 175x − 450
3.
During an evening test, a battery supplies power at a constant rate. It holds 31 kWh after 2 hours and 19 kWh after 6 hours. Let x be hours since the test began and y be energy remaining in kWh. Enter signed numbers.

y =  x +  

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