Answer:
y = 5*(1.5)ˣ
Step-by-step explanation:
The exponential function is given in the form y = a*bˣ.
Given coordinate points are (1, 7.5) and (3, 16.875).
It means 7.5 = a*b¹ and 16.875 = a*b³
Dividing the second equation by the first equation:-
16.875 / 7.5 = a*b³ / a*b¹
b² = 2.25
b = 1.5
Now substitute the value of b into first equation:-
7.5 = a*1.5
a = 7.5/1.5
a = 5
Hence, y = 5*(1.5)ˣ
