Answer:
The function equation for the given ordered pairs is f(x) = 51 (1.5)^x
Step-by-step explanation:
The general equation for an exponential function is f(x)=ab^x, where 'a' represents your initial amount, 'b' represents the rate and your 'x' is the independent variable which is most cases is time. For this problem, you need to use the 'x' and 'y' values from the given points to find the rate of change. from the points, we see that the x increases by 1 each time and the y increases by a multiple of 1.5, therefor the rate of change (y/x) is 1.5, or the value of 'b'. The value of y when x=0 is 51, so that is our initial value, or 'a'. Plugging in these values into our equation, we get f(x)= 51(1.5)^x.
