🧠 Linear vs Exponential Models: Show Your Thinking (F-LE.A.2)

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Construct linear and exponential functions from a description, table or two points. Solve each problem and show your work.

1. A tank holds 60 L and gains 6 L per minute. Write V(t).

Show your work

2. A population of 20 doubles every year. Write P(t).

Show your work

3. A tank holds 80 L and gains 10 L per minute. Write V(t).

Show your work

4. A population of 50 doubles (×3) every year. Write P(t).

Show your work

5. A tank holds 40 L and gains 6 L per minute. Write V(t).

Show your work

6. A population of 20 doubles (×3) every year. Write P(t).

Show your work

Explain: How did you solve problem 1? Could you check it another way?

Answer key: 1) V(t) = 60 + 6t · 2) P(t) = 20·2^t · 3) V(t) = 80 + 10t · 4) P(t) = 50·3^t · 5) V(t) = 40 + 6t · 6) P(t) = 20·3^t

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Worksheets › Grade 9 Math (Algebra I) › Linear vs Exponential Models › Linear vs Exponential Models

Grade 9 (ages 14–15)Numbers & mathsFree printable PDF

About this grade 9 worksheet

Free Grade 9 Algebra I math worksheet (Common Core F-LE.A.2): linear vs exponential models — problems with space to show work and explain reasoning, with answer key. Skill: Construct linear and exponential functions from a description, table or two points. Level: Grade 9 — also suits Year 10 (UK).

For teachers: skills & standards

CCSS F-LE.A.2: Construct linear and exponential functions from a description, table or two points
Works as a morning-work page, a centre/station activity, homework or an early-finisher task.

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What age is it for?

It is designed for Grade 9 (ages 14–15), but use it with any child who is ready.

What skills does it build?

Construct linear and exponential functions from a description, table or two points.

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More “Linear vs Exponential Models” printables (f-le.a.2: construct linear and exponential functions from a description, table or two points)

Linear vs Exponential Models: Practice A (F-LE.A.2) · Linear vs Exponential Models: Practice B (F-LE.A.2) · Linear vs Exponential Models: Mixed Practice & Reasoning (F-LE.A.2) · Linear vs Exponential Models: Quick Check (F-LE.A.2)

All 5 linear vs exponential models sheets → · Grade 9 Math (Algebra I): all 10 skills → · All Common Core grades

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