Final answer:
To find the exponential equation using the given points, (-3, 3/4) and (2, 24), we need to determine the general form of an exponential equation and use the two points to solve for the variables 'a' and 'b'.
Step-by-step explanation:
To find the exponential equation using the given points (-3, 3/4) and (2, 24), we need to determine the general form of an exponential equation, which is y = ab^x. We can write two equations using the points:
For (-3, 3/4): 3/4 = ab^(-3)
For (2, 24): 24 = ab^2
By dividing these two equations, we can eliminate the variable 'a' and solve for 'b'. Once we find 'b', we can substitute it back into either equation to solve for 'a'.
Finally, we can write the exponential equation with the obtained values of 'a' and 'b'.