Respuesta :

For this case we have a function of the form:
 [tex]y = A * (b) ^ x [/tex]
 Where,
 A: initial amount
 b: rate of change
 x: independent variable.
 We then have the following function:
 [tex]A (x) = P (1.01) ^ x [/tex]
 The exchange rate is:
 [tex](1.01 - 1) * 100 = 0.01 * 100 = 1% [/tex]
 Answer:
 
the rate of change is:
 
1%

Answer: Second option is correct.

Step-by-step explanation:

Since we have given that

[tex]A(x)=P(1.01)^x[/tex]

As we know the exponential function for compounding interest.

[tex]A(x)=P(1+r)^x[/tex]

Here, r is the rate of change .

So, on comparing both the equations we get that

[tex]1+r=1.01\\\\r=1.01-1\\\\r=0.01\times 100\%\\\\r=1\%[/tex]

Hence, Second option is correct.