The table shows data for a linear and an exponential function. f() g(2)
29 385
3 27 388
4 81 391
5
One of the functions given models a bacteria population that triples every hour. The other function models the total
amount of water in a container being filled by a faucet that has a flow rate of three gallons per minute.
• How do you know from the table which function is a linear function and which function is an exponential function?
• Explain which function models which scenario.
• Describe how to determine f(a) and g(x) when x = 5.