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School Roof Solar Models

Write and interpret proportional equations using solar panel output, installation supplies, and energy savings.

Grade 7MathInteractive · Printable

Aligned to7.RP.A.2.c

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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 7
Subject: Math
Question types: Fill in the blank, Multiple choice, Matching, Short answer

About this worksheet

What students practice

Students write proportional equations from tables and descriptions.
Students identify the correct rate and variable order in a proportional equation.
Students use proportional equations to model solar project costs and energy output.

How to use

Use after introducing constants of proportionality. Have students label the units of each rate and explain how the rate connects the two variables.

Curriculum

Common Core standard covered

7.RP.A.2.c

Write equations for proportional relationships, such as total cost t = pn for n items at price p.

Preview

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Name Date

School Roof Solar Models

Write proportional equations for a school solar panel project.

Model the Project

Use the stated rates for the school roof project. Each relationship is proportional under the conditions described.

Each panel has the same rated power. Let p be the number of panels and w be their total rated power in watts. Which equation models the table?

Rated Solar Power
Panels, p	Power, w (watts)
2	720
5	1800
8	2880

A. w = 360p
B. w = p + 360
C. w = 720p
D. w = p/360

The installation team needs 4 mounting clamps for each panel. Let n be the number of panels and c be the number of clamps.

Complete the equation: c = n

Grounding cable costs $2.75 per meter, with no added fee. Let m be the meters purchased and t be the total cost in dollars. Which equation gives t in terms of m?