Given the equation $$ S=1000-50 \mathrm{~m} $$, where $$ S $$ is the amount of savings $$ (\$) $$ and $$ m $$ is the number of months. a) Find the amount in savings after 8 months. b) After how many months will the savings be $$ \$ 0 $$ ?

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Let's analyze the equation $$ S = 1000 - 50m $$, where:
- $$ S $$ represents the amount of savings in dollars (\$).
- $$ m $$ represents the number of months.

### a) **Amount of Savings After 8 Months**

To find the savings after 8 months, substitute $$ m = 8 $$ into the equation:

$$
\begin{align*}
S &= 1000 - 50m \
S &= 1000 - 50(8) \
S &= 1000 - 400 \
S &= 600
\end{align*}
$$

**Answer:** After 8 months, the savings amount to **\$600**.

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### b) **Number of Months Until Savings Reach \$0**

To determine after how many months the savings will be \$0, set $$ S = 0 $$ and solve for $$ m $$:

$$
\begin{align*}
0 &= 1000 - 50m \
50m &= 1000 \
m &= \frac{1000}{50} \
m &= 20
\end{align*}
$$

**Answer:** The savings will reach \$0 after **20 months**.
a) After 8 months, the savings are \$600. b) The savings will be \$0 after 20 months.

Given the equation \( S=1000-50 \mathrm{~m} \), where \( S \) is the amount of savings \( (\$) \) and \( m \) is the number of months. a) Find the amount in savings after 8 months. b) After how many months will the savings be \( \$ 0 \) ?

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