The table shows data for a linear function and an exponential function. x f(x) g(x) 2 9. 385 3 27 388 4 81 391 One of the given functions 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. • Based on the table, how do you know which function is linear and which function is exponential? • How do you know which function models the bacteria scenario and which function models the water scenario? • Describe how to determine f(x) and g(x) when x = 5. • Math symbols • Relations • Geometry • Groups • Trigonometry • Statistics • Greek

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A colony of bacteria triples every day. There were initially 200 bacteria in the colony. Which function models the growth of bacteria, with d being days? f(d) = 200 x d G f(d) = 200 x 3 x d H f(d) = 200 x 34 f(d) = 3 x d200 K f(d) = 3 x 200d

1 Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease. y=7900(1.05)^xy=7900(1.05)x   2 Find the equation of the exponential function represented by the table below: x y 0 0.1 1 0.3 2 0.9 3 2.7 y=    3 Write an exponential function in the form y=ab^xy=abx that goes through points (0, 9) and (3, 72)(