Exponential Growth

Learn and apply exponential growth using equations, examples, and interpretation.

Lesson 3 of 53 parts Practice Flashcards

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Constant Multiplicative Factor

Objective: Explain and use constant multiplicative factor in an Algebra 1 problem.

Exponential growth multiplies by the same factor greater than one each equal time step; additive change is not constant. Linear change adds a constant amount.

Worked examples

Try itExample 1.1: A quantity starts at 16 and increases by factor 3 per period. What is its value after 5 periods?Show answer

3888. Multiply the initial amount by the factor once per period. The answer is 3888.

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Constant Multiplicative Factor

Objective: Explain and use constant multiplicative factor in an Algebra 1 problem.

Exponential growth multiplies by the same factor greater than one each equal time step; additive change is not constant. Linear change adds a constant amount.

Worked examples

Try itExample 1.1: A quantity starts at 16 and increases by factor 3 per period. What is its value after 5 periods?Show answer

3888. Multiply the initial amount by the factor once per period. The answer is 3888.

Growth Rule

Objective: Explain and use growth rule in an Algebra 1 problem.

A discrete growth model y=a·b^t has initial amount a at t=0 and growth factor b>1 per unit t. The initial output.

Worked examples

Try itExample 2.1: A quantity starts at 26 and increases by factor 4 per period. What is its value after 8 periods?Show answer

1703936. Multiply the initial amount by the factor once per period. The answer is 1703936.

Percent Growth

Objective: Explain and use percent growth in an Algebra 1 problem.

A growth rate r per period corresponds to factor 1+r when r is written as a decimal, under the compound-growth model. 1.20.

Worked examples

Try itExample 3.1: A quantity starts at 36 and increases by factor 2 per period. What is its value after 11 periods?Show answer

73728. Multiply the initial amount by the factor once per period. The answer is 73728.

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