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)
259 + 50 = 19x
O 19x + 50 = 259
O 50x + 19 = 259
O 19x - 50 = 259
To represent the problem with an equation in the form px + q = r, where x is the number of weeks, p is the amount saved each week, q is the initial amount, and r is the final amount in the savings account, you'd set up the equation as follows:
Maria starts with $50 and saves $19 each week. After x weeks, her total savings will be her initial $50 plus $19 times the number of weeks. So the equation that represents this situation is:
19x + 50 = 259
Where:
- 19x represents the total amount saved from the weekly savings over x weeks.
- 50 is the initial amount Maria starts with in her account.
- 259 is the target amount Maria wants to have in her account.
So the correct option is:
☑ 19x + 50 = 259
To solve for x:
19x = 259 - 50
19x = 209
x = 209 / 19
x = 11
So it will take Maria 11 weeks to save $259.