Question Maria opens a savings account with $50 and then saves $19 each week. How many weeks will it take for her account to reach $259? Represent this problem with an equation in the form px+q=r .

Answer 1

To represent Maria's savings account situation with an equation in the form \( px + q = r \), we can define the variables and constants involved.

Let:

• \( x \) be the number of weeks Maria saves.
• \( p \) be the amount she saves each week, which is $19.
• \( q \) be the initial amount in her savings account, which is $50.
• \( r \) be the target amount she wants to reach, which is $259.

Based on this information, we can set up the equation:

\[ 19x + 50 = 259 \]

In this equation:

• \( p = 19 \)
• \( q = 50 \)
• \( r = 259 \)

Now we have the equation in the required form \( px + q = r \).

Answer 2

final answer?

Answer 3

The equation representing Maria's savings account situation is:

\[ 19x + 50 = 259 \]

To answer the original question:

To find out how many weeks it will take for her account to reach $259, we can solve the equation:

1. Subtract 50 from both sides: \[ 19x = 259 - 50 \] \[ 19x = 209 \]

2. Divide both sides by 19: \[ x = \frac{209}{19} \] \[ x = 11 \]

So, it will take Maria 11 weeks to reach $259 in her savings account.