$$ 11 \text { y=20-4x } $$ Kagan keeps a collection of coins in his car to pay for city parking. Kagan withdraws money from his coin collection according to the equation above, where $$ y $$ is the dollar amount left in his collection after $$ x $$ weekly withdrawals. What does it mean that $$ (5,0) $$ is a solution to this equation? A) Kagan's coin collection will be empty after 5 weeks. B) Kagan withdraws 5 dollars every week. C) Kagan withdraws 5 dollars every 4 weeks. D) Kagan withdraws 4 dollars every 5 weeks.

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To understand what it means that $$ (5,0) $$ is a solution to the equation $$ y = 20 - 4x $$, we can interpret the coordinates of the point $$ (5,0) $$.

In this context:
- $$ x $$ represents the number of weeks Kagan has been making withdrawals.
- $$ y $$ represents the amount of money left in his coin collection after those withdrawals.

The point $$ (5,0) $$ means that after 5 weeks of withdrawals, the amount of money left in Kagan's collection is $0.

To find out how much Kagan withdraws each week, we can look at the equation:
- The equation $$ y = 20 - 4x $$ indicates that for each week $$ x $$, Kagan withdraws $4 (since the coefficient of $$ x $$ is -4).

Thus, when $$ x = 5 $$:
$$
y = 20 - 4(5) = 20 - 20 = 0
$$
This confirms that after 5 weeks, Kagan has $0 left.

Therefore, the correct interpretation of the solution $$ (5,0) $$ is:

**A) Kagan's coin collection will be empty after 5 weeks.**
Kagan's coin collection will be empty after 5 weeks.

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