Write an exponential function for a graph that passes through the points (3, 2.8) and (4, 5.6) . Write the function in the form y=a(b)x.

Answer 1

y = a(b^x)

Since (3, 2.8) and (4, 5.6) are on the graph, we have the following system of equations:

5.6 = a(b⁴)

2.8 = a(b³)

5.6 = 2(2.8), so a(b⁴) = 2a(b³). Therefore, b = 2.

So, 2.8 = a(2³). Therefore, a = 0.35.

y = (0.35)(2^x)