Answer:
C
Step-by-step explanation:
To determine which point lies on the graph, substitute the x-coordinate into f(x) and if the value is equal to the y-coordinate then the point is on the graph
A (15, 1)
f(15) = 3 × [tex]5^{15}[/tex] ≠ 1 ← not on graph
B (0, 15)
f(0) = 3 × [tex]5^{0}[/tex] = 3 × 1 = 3 ≠ 15 ← not on graph
C (1, 15)
f(1) = 3 × [tex]5^{1}[/tex] = 3 × 5 = 15 ← lies on graph
D (0, 0)
f(0) = 3 × [tex]5^{0}[/tex] = 3 × 1 = 3 ≠ 0 ← not on graph
