Question

Given the graph of the exponential equation that goes through the points (0,6) and (1,3), which option is the correct exponential equation for the graph?

Answer 1

To find the correct exponential equation for the graph, we can first use the two given points to find the values of a and b in the general form of an exponential equation: y = ab^x.

Given point (0,6):
6 = a * b^0
6 = a

Given point (1,3):
3 = 6 * b^1
3 = 6b
b = 1/2

Therefore, the correct exponential equation for the graph is y = 6 * (1/2)^x.