Skip to lesson

Choose “Save as PDF” in the print dialog to keep a copy.

Cogito

Integrated Math 1 · Chapter 4 · Lesson 2

Practice Worksheet

Comparing Linear and Exponential

Which model does the data want?

12 problems · about 21 minutes · F-LE.A.1, F-LE.A.3

NameDate

Figure — use these to answer the problems

Near the left the curve looks almost straight. Follow it right and the difference becomes impossible to miss.
-8-8-6-6-4-4-2-222446688
y = 1 · 2^x + 0
a, starting amount1
b, factor2
Figure 1

Warm Up

Straightforward practice. Get the method working first.

5 problems

  1. 6, 12, 24, 48. Linear or exponential? 1 or 2.

    Answer

  2. What check distinguishes the two models in a table?

    • Constant differences mean linear; constant ratios mean exponential.
    • Whether the numbers get large.

  3. 2, 6, 18, 54. Linear or exponential? 1 or 2.

    Answer

  4. 7, 12, 17, 22. Linear or exponential? 1 or 2.

    Answer

  5. 2, 6, 18, 54. What is the common ratio?

    Answer

Build It Up

The same ideas with more to keep track of.

3 problems

  1. 7, 12, 17, 22. What is the common difference?

    Answer

  2. 100, 50, 25, 12.5. What is the common ratio?

    Answer

  3. A savings account paying 4% a year. Linear or exponential? 1 or 2.

    Answer

Stretch Yourself

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

4 problems

  1. Which signal identifies an exponential relationship?

    • Equal ratios between consecutive outputs
    • A constant percentage change
    • Equal differences between consecutive outputs
    • A fixed amount added per unit
    • Tick every box that applies.

  2. 3, 9, 27, 81. What is the common ratio?

    Answer

  3. The Table

    5, 10, 20, 40. Is it linear or exponential? 1 linear, 2 exponential.

    Answer

  4. The Other Table

    4, 9, 14, 19. Linear or exponential? 1 or 2.

    Answer