Final answer:
To find a formula for the exponential function passing through the points (-1, 2/5) and (2, 50), we can use the general form of an exponential function: y = a * (b)^x.
Step-by-step explanation:
To find a formula for the exponential function passing through the points (-1, 2/5) and (2, 50), we can use the general form of an exponential function: y = a * (b)^x, where a is a constant and b is the base of the exponential function.
Let's substitute the coordinates of the given points into the equation to form a system of equations:
For the point (-1, 2/5):
2/5 = a * b^(-1)
For the point (2, 50):
50 = a * b^2
Now we can solve this system of equations to find the values of a and b.
After solving the system of equations, we get the formula for the exponential function as y = 2 * (5)^x.