Question

x to f(x)
2 to 6
3 to 3
4 to 1.5
5 to 0.75
6 ro 0.375

The table represents some points on the graph of an exponential function. Which function represents the relationship?

(1 point)

y=0.5x

y=24(5)x

y=24(0.5)x

y=6(0.5)x

Answer 1

y = 24(0.5)^x

Reason: each time x increases by 1, y is multiplied by 0.5 (6 → 3 → 1.5 → …), so the base is 0.5. Use (2,6): 6 = a(0.5)^2 ⇒ a = 6/(0.25) = 24.