Answer: f(x) = 64 * (3/4)^x
Step-by-step explanation: f(x)=ab^x
When x=0 f(x) = 64
64 = ab^0
b^0 =1 so
64 =a
f(x)=64 b^x
When x=1 f(x) = 48
48 = 64 *b
Divide by 64
48/64 =b
6/8 =b
3/4 =b
f(x) = 64 * (3/4)^x
Hi,
The second option is the correct answer.
Given:
Principal = $1400
Simple rate of interest = 1.25%
Time = 6 month
To find:
The balance of the account after simple interest.
Solution:
The formula for simple interest is

Where, P is principal, r is the rate of interest in % and t is time in years.
Time = 6 months
=
year
= 0.5 year
Putting 1400, r=1.25, t=0.5 years.



Now, the amount is



Therefore, the balance of the account after the simple interest is $1408.75.