Respuesta :

For this case what you should see is the behavior of each function to find the correct answer.
 We have functions of the type:
 f (t) = a * (b) ^ t
 Thus,
 For I, we have:
 f (t) = 30 * (1.05) ^ t
 For V we have:
 f (t) = 30 * (0.95) ^ t
 For VI we have:
 f (t) = 30 * (0.85) ^ t
 Answer:
 option c.

Answer:

Option: c is the correct answer.

        c.  φ, ε and δ

Step-by-step explanation:

From the graph given to us we see that the graph passes through the same initial point that is the starting point is same i.e. when t=0.

Also, they attain the maximum value at t=0.

α: [tex]10(1.2)^t[/tex]

Now when t=0 we have:

 Value=10

β :   [tex]10(1.5)^t[/tex]

Now when t=0 we have:

 Value=10

χ:  [tex]20(1.2)^t[/tex]

Now when t=0 we have:

 Value=10

δ: [tex]30(0.85)^t[/tex]

Now when t=0 we have:

Value=30

ε: [tex]30(0.95)^t[/tex]

Now when t=0 we have:

Value=30

φ: [tex]30(1.05)^t[/tex]

Now when t=0 we have:

              Value=30

Hence, we see that δ , ε and φ are the three functions such that they have the same initial value.