Question

Harry took a loan from the bank.

D(t)D(t)D, left parenthesis, t, right parenthesis models Harry's remaining debt (in dollars) as a function of time ttt (in months).

D(t)=-200t+9000D(t)=−200t+9000D, left parenthesis, t, right parenthesis, equals, minus, 200, t, plus, 9000

What was the size of Harry's loan?

Answer 1

$200

Explanation:

I got $9000 wrong on Khan and $200 right

Answer 2

The size of Harry's loan is $9000.

Explanation:

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

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

We can see 200 is in negative that means it is getting deducted from the function. So, Harry must be paying this each month against his loan.

Lets put t = 0, that shows no payments have been made.

This will get the amount of loan, before any payments.

`D(t)=-200(0)+9000`

So,
`D(t) =9000`

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