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Harry took a loan from the bank.

D represents Harry's remaining debt (in dollars) after
t months.

D=-200 t+9000
What was the size of Harry's loan?

$

Harry took a loan from the bank. $\newline$ $D$ represents Harry's remaining debt (in dollars) after $t$ months. $\newline$ $D=-200 t+9000$ $\newline$ What was the size of Harry's loan? $\newline$ $\$$

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Write linear functions: word problems

Full solution

Q. Harry took a loan from the bank.

\newline

D

represents Harry's remaining debt (in dollars) after

t

months.

\newline

D=-200 t+9000

\newline

What was the size of Harry's loan?

\newline

\$

Equation for Harry's remaining debt: Understand the equation representing Harry's remaining debt. $\newline$ The equation $D = -200t + 9000$ represents Harry's remaining debt after $t$ months. The term $-200t$ indicates that the debt decreases by \$\(200\) each month, and the term \(9000\) is the initial debt, which is the size of the loan Harry took from the bank.
Determining the size of the loan: Determine the size of the loan.\(\newline\)To find the size of the loan, we need to consider the value of \(D\) when \(t = 0\), which is the starting point before any payments have been made.\(\newline\)So, substituting \(t = 0\) into the equation gives us:\(\newline\)\(D = -200(0) + 9000\)\(\newline\)\(D = 0 + 9000\)\(\newline\)\(D = 9000\)
Concluding the size of Harry's loan: Conclude the size of Harry's loan.\(\newline\)The calculation shows that when \(t = 0\), the remaining debt \(D\) is \(\$9000\). This means that the size of Harry's loan was \(\$9000\).

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