Question

Hurry!!

Determine which of the following exponential formula(s) represents I, V, VI in the graph above.

Answer 1

Option: c is the correct answer.

c. φ, ε and δ

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:
`10(1.2)^t`

Now when t=0 we have:

Value=10

β :
`10(1.5)^t`

Now when t=0 we have:

Value=10

χ:
`20(1.2)^t`

Now when t=0 we have:

Value=10

δ:
`30(0.85)^t`

Now when t=0 we have:

Value=30

ε:
`30(0.95)^t`

Now when t=0 we have:

Value=30

φ:
`30(1.05)^t`

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.

Answer 2

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.