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

.(1 point)
Responses

259+50=19x
259 plus 50 equals 19 x

19x−50=259
19 x minus 50 equals 259

19x+50=259
19 x plus 50 equals 259

50x+19=259

1 answer

To represent the problem in the form \( px + q = r \), we start with the initial amount Maria has, which is $50, and then add the amount she saves each week.

Let's denote:

  • \( x \) as the number of weeks,
  • The initial amount in her account is $50,
  • She saves $19 each week, which means after \( x \) weeks, she will have saved \( 19x \).

The total amount in her account after \( x \) weeks can be expressed as:

\[ 50 + 19x \]

We want this total to equal $259:

\[ 50 + 19x = 259 \]

This fits the form \( px + q = r \) where:

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

Therefore, the correct equation is:

19x + 50 = 259.