Linear Versus Exponential Growth Worksheet with Answer Key

What's on the worksheet

1. Say whether each function has equal differences or equal factors, and give the value.
   f(x) = 4x - 1g(x) = 5 \cdot 2^xh(x) = 200(0.5)^xk(x) = 7 - 2xp(x) = 10(1.1)^x
2. Fill in two table rows that start at 4 and end at 64: one linear and one exponential.
3. Write rules for a linear and an exponential function that share two values and compare them.
4. Two cars lose value in different ways: compare losing a fixed amount with a percent each year.
5. Compare a slowly rising linear function with a decaying exponential and find when one overtakes.
6. Find the ratios of consecutive outputs of a linear function and explain what they show.