Question

Harry took a loan from the bank. D(t) models Harry's remaining debt (in dollars) as a function of time, t (in months)
D(t) = -200t + 9000
What is the size of Harry's loan?

Answer 1

Answer-

The size of Harry's loan is $9000.

Solution-

Harry took a loan from the bank.

D(t) is the function that models Harry's remaining debt, in dollars, as a function of time t, in months

The function is given by,

$D(t) = -200t + 9000$

From this function this can be obtained that, 200 is getting deducted from the function, i.e Harry is paying $200 each month towards his loan.

We can get the total amount of Harry's lone by putting t=0, because at the beginning Harry has not paid anything. So, the value of D(t) will give the net amount of loan.

$\Rightarrow D(t) = -200(0) + 9000$

$\Rightarrow D(t) =9000$

Therefore, the size of Harry's loan is $9000.

Answer 2

Using the basics of functions, the size of Harry's loan or we can say D(0) comes to be $9000.

Harry's remaining debt (in dollars) as a function of time, t (in months) is given by:

$D(t)=-200t+9000$

What is a function?

A Function is a specific rule that relates two variables(one is independent while another one is dependent).

In order to get the size of Harry's loan, we need to find out the time when the loan amount was just deposited in Hary's account i.e.  t=0

So at  t=0

$D(0)=-200*0+9000$

$D(0)=9000$

So, the size of Hary's loan is $9000.

Thus, the size of Harry's loan comes to be $9000.

To get more about functions visit:

https://brainly.com/question/2833285