Keiko is putting money into a savings account. She starts with \( \$ 650 \) in the savings account, and each week she adds \( \$ 70 \). Let \( S \) represent the total amount of money in the savings account (in dollars), and let \( W \) represent the number of weeks Keiko has been adding money. Write an equation relating \( S \) to \( W \). Then use this equation to find the total amount of money in the savings account after 19 weeks. Equation: Total amount of money after 19 weeks:

To find the equation relating \( S \) (the total amount of money in the savings account) to \( W \) (the number of weeks), we can start by considering the initial amount and the amount added each week. 1. **Initial amount**: Keiko starts with \( 650 \) dollars. 2. **Amount added each week**: She adds \( 70 \) dollars each week. The total amount \( S \) after \( W \) weeks can be expressed as: \[ S = 650 + 70W \] Now, we will use this equation to find the total amount of money in the savings account after \( 19 \) weeks. Substituting \( W = 19 \) into the equation: \[ S = 650 + 70 \times 19 \] Now, we will calculate \( 70 \times 19 \): \[ 70 \times 19 = 1330 \] Now, substituting this back into the equation for \( S \): \[ S = 650 + 1330 \] Calculating the total: \[ S = 1980 \] Thus, the total amount of money in the savings account after \( 19 \) weeks is \( 1980 \) dollars. ### Summary: - **Equation**: \( S = 650 + 70W \) - **Total amount of money after 19 weeks**: \( 1980 \) dollars.