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Cogito

Algebra 1 · Chapter 6 · Lesson 3

Practice Worksheet

Comparing Linear and Exponential Growth

Adding the same, or multiplying by the same.

11 problems · about 23 minutes · F-LE.A.1, F-LE.A.3

NameDate

Figure — use these to answer the problems

Exponential growth starts slowly and then climbs past everything.
-8-8-6-6-4-4-2-222446688
y = 1 · 2^x + 0
Starting amount1
Growth factor2
Figure 1

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. 3, 12, 48. Common ratio?

    Answer

  2. 4, 8, 12, 16. Common difference?

    Answer

  3. 4, 8, 16, 32. Common ratio?

    Answer

  4. 100, 50, 25. Common ratio, as a decimal?

    Answer

Build It Up

The same ideas with more to keep track of.

3 problems

  1. Does exponential growth eventually overtake linear? 1 for yes, 0 for no.

    Answer

  2. Sort each sequence by its kind of growth.

    Write each item under the heading it belongs to: 2, 5, 8, 11 · 2, 4, 8, 16 · 10, 20, 30, 40 · 1, 3, 9, 27

    Linear

    Exponential

  3. Start 5, double each step. Value after 3 steps?

    Answer

Stretch Yourself

Mixed problems. Work out what kind of question it is before you start.

4 problems

  1. Start 5, add 3 each step. Value after 3 steps?

    Answer

  2. Is a constant ratio the sign of linear or exponential? 1 for linear, 2 for exponential.

    Answer

  3. The Difference

    5, 9, 13, 17. What is the common difference?

    Answer

  4. The Ratio

    2, 6, 18, 54. What is the common ratio?

    Answer