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. Â For this problem, you need to use the 'x' and 'y' values from the given points to find the rate of change. Â 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'. Â The value of y when x=0 is 51, so that is our initial value, or 'a'. Â Plugging in these values into our equation, we get f(x)= 51(1.5)^x.
