Question

An exponential function f(2) of a and b? ab passes through the points (0, 3000) and (3, 375). What are the values of a and b?

a) a = 1500, b = 2
b) a = 3000, b = 1.25
c) a = 375, b = 4
d) a = 500, b = 3

Answer 1

The values of a and b cannot be determined from the given options.

Step-by-step explanation:

To find the values of a and b in the exponential function f(2) = ab that passes through the points (0, 3000) and (3, 375), we can use the values of a and b from the given options and substitute them into the equation to see if they satisfy the given points.

By substituting the values from option (b) into the equation, we have f(2) = (3000)(1.25) = 3750. Since this value does not match the given point (3, 375), option (b) is not correct.

Similarly, by substituting the values from options (a), (c), and (d) into the equation, we find that none of them satisfy both given points. Therefore, none of the provided options are correct.