Question

On a coordinate plane, an exponential growth function approaches y = 0 in the second quadrant and goes through points (negative 1, 0.8), (0, 2), (1, 5), (2, 12.5).
What is the rate of change of the function shown on the graph? Round to the nearest tenth.

2.00
2.50
5.25
10.50

Answer 1

The function is y = a·b^x. From (0,2) we get a = 2. From (1,5): 5 = 2·b so b = 5/2 = 2.5.

Thus the growth factor (rate per unit) is 2.5 → 2.50.