Building an Exponential Model from Two Points Worksheet with Answer Key

What's on the worksheet

1. Find the exponential function y = a · b^x whose graph passes through both points.
   (2, 12) and (5, 96)(−1, 40) and (2, 0.625)(1, −6) and (4, −162)(−2, 4) and (2, 324)(1, 250) and (3, 40)
2. In a made-up model, the number of electric cars registered in a county is multiplied by the same factor each year.
3. In a made-up model of the air above a plain, the air pressure is multiplied by the same factor for each kilometer of altitude.
4. In a made-up model, the number of transistors on a company's newest computer chip is multiplied by the same factor each year.
5. In a made-up survey, divers count the lionfish on a reef:
6. An exponential function y = a · b^x with b > 0 is to pass through (1, 6) and (3, k).