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ALG1.67 Write Exponential Models from Context Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Algebra I Math worksheet provides structured practice on ALG1.67 Write Exponential Models from Context. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

ALG1.67 Write Exponential Models from Context - Focus on Write Exponential Models from Context in Algebra 1.

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Algebra I

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related ALG1.67 Write Exponential Models from Context skill assessments:

Problem 1Difficulty: Mastery

A(t)=700(1.02) to the power of (3t) models the amount of algae after t years.

What is the approximate percent increase per year? Round to the nearest hundredth of a percent.

Solution & Explanation:In one year, the exponent increases by 3, meaning three 2% growth steps per year. Yearly factor = (1.02)³ ≈ 1.061208, so yearly percent increase ≈ 6.12%.

Problem 2Difficulty: Mastery

A quantity decreases exponentially. After 3 equal time periods, it is 55% of its original amount.

What is the decay factor per period b, and what is the percent decrease per period? Round b to the nearest thousandth and the percent to the nearest tenth.

Solution & Explanation:If after 3 periods the factor is 0.55, then b³=0.55. b=the cube root of 0.55≈0.819. Percent decrease is (1−b)·100%≈18.1%.

Problem 3Difficulty: Mastery

In 2020, a museum had 160,000 visitors. The number of visitors increases by 2% each year. Let t be the number of years after 2020.

Which model V(t) is correct?

AV(t)=160000(0.98)ᵗ

BV(t)=160000(1.02)ᵗ

CV(t)=2020(1.02)ᵗ

DV(t)=162000(1.02)ᵗ

Solution & Explanation:At t=0 (year 2020) the value is 160,000. A 2% yearly increase uses factor 1.02, so V(t)=160000(1.02)ᵗ.

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QIs this ALG1.67 Write Exponential Models from Context worksheet free for teachers and homeschoolers?

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Algebra I Math students. It aligns with educational standard ALG1.67 (Focus on Write Exponential Models from Context in Algebra 1.).