Question

The value of a boat after t years is represented by the function f(t)=11,200(0.93)t

What does the value 11,200 represent in this situation?

The value of the boat increases by $11,200 each year.

The value of the boat after t years is $11,200.

The initial value of the boat is $11,200.

The value of the boat decreases by $11,200 each year.

Answer 1

Answer: The initial value of the boat is $11,200.

Explanation:

An exponential function is represented by

`y=Ab^x`, where A is the initial amount , b is the rate of increase or decrease and t is the time period.

The given function is an exponential function which gives the value of a boat after t years

`f(t)=11,200(0.93)^t`

If we put t=0 {initial time}

`f(0)=11,200`

Thus, The initial value of the boat is $11,200.

Answer 2

The value of a boat after t years is represented by the function f(t)=11,200(0.93)t

The function has the parts of the initial value of the boat

The percent of increase or decrease of the with time

And how in how many times

The 11,200 represents the intial value of the boat