Answer:
Step-by-step explanation: We are given points (−3,5),(1,12),(5,72),(7,137).
We know the equation of an exponential modal is:
Let us take first point and plug in above exponential equation, we get
On applying negative exponents rule , we get
On cross multiplying, we get
------------(1).
Now, plugging (1,12) in above exponential equation, we get
--------------(2).
Substituting in second equation, we get
Dividing both sides by 5, we get
Taking 4th root on both sides, we get
b= 1.24.
Plugging b = 1.24 in first equation, we get
a=5.88.
Plugging values of a and b in , we get