The graph below could be the graph of which exponential function?

The graph could be a graph of the function:

      Option: B       B.

Step-by-step explanation:

We know that for any exponential function of the type:

if b>1 then it represent a exponential growth

and if 0<b<1 then it represent a exponential decay.

Clearly from the graph given to us we could observe that it is a graph of a exponential decay.

Hence 0<b<1

Now we will check for each of the given options:

A)

Now as b=1.6>1

So, this function will represent a exponential growth.

Hence, option: A is incorrect.

C)

Now as b=7>1

So, this function will represent a exponential growth.

Hence, option: C is incorrect.

D)

Now as b=2>1

So, this function will represent a exponential growth.

Hence, option: D is incorrect.

B)

Now as b=0.5<1 and also 0.5>0

So, this function will represent a exponential decay

             Hence, option: B is correct.

answer: $53750

steps:

list the principal and interest after the n-th year:

n       principal   simple interest

1     12500     375

2     25000     750

3     37500     1125

4     50000     1500

sum: $50000     $3750

total at end of year 4: $53750