Dana tiene $\$ 125$ ahorrados para comprar una lavadora. Ella planea ahorrar $\$ 20$ por semana hasta que tenga dinero suficiente para compra representa la cantidad total de dinero para comprar la lavadora, $a$ , que Dana tendrá ahorrado después de cada semana, $w$ ? $\newline$ A $a=125 w+20$ $\newline$ B $\quad a=20 w+125$ $\newline$ C $w=125 a+20$ $\newline$ D $w=20 a+125$

Full solution

Q. Dana tiene

\$ 125

ahorrados para comprar una lavadora. Ella planea ahorrar

\$ 20

por semana hasta que tenga dinero suficiente para compra representa la cantidad total de dinero para comprar la lavadora,

a

, que Dana tendrá ahorrado después de cada semana,

w

\newline

a=125 w+20

\newline

\quad a=20 w+125

\newline

w=125 a+20

\newline

w=20 a+125

Initial Amount: Dana starts with $\$125$ saved for the washing machine. This is the initial amount of money she has, which does not depend on the number of weeks she saves money. Therefore, this amount will be a constant in our equation.
Weekly Savings: Dana saves $\$20$ each week. This is a repeated addition based on the number of weeks. For each week that passes, she adds $\$20$ to her savings. This is a linear relationship between the amount of money saved and the number of weeks.
Total Savings Equation: To represent the total amount of money saved after $w$ weeks, we combine the initial savings with the amount saved each week. The initial savings are $\$125$ , and the amount saved each week is $\$20$ times the number of weeks, $w$ . The equation that represents this relationship is $a = 125 + 20w$ .
Matching Correct Option: We can now match our equation to the options given in the problem. The correct equation that represents the total amount of money Dana will have saved after each week is $a = 20w + 125$ , which corresponds to option $B$ .