A television with a price of $300 is to be purchased with an initial payment of $60 and weekly payments of $30. Which of the following equations can be used to find the number of weekly payments, w, required to complete the purchase, assuming there are no taxes or fees?

Options

A. 300 = 30w − 60
B. 300 = 30w
C. 300 = 30w + 60
D. 300 = 60w − 30

Explanation

To find the number of weekly payments \( w \) required to complete the purchase of the television, we can set up an equation based on the information given.

1. **Identify the total price of the television**: The total price of the television is $300.

2. **Identify the initial payment**: The initial payment made is $60.

3. **Identify the weekly payment**: The weekly payment is $30.

4. **Set up the equation**:
- The total amount paid after making the initial payment and the weekly payments should equal the total price of the television.
- The amount paid after \( w \) weeks of payments is \( 30w \).
- Therefore, the equation can be set up as:
\[ \text{Total Price} = \text{Initial Payment} + \text{Weekly Payments} \]
This translates to:
\[ 300 = 60 + 30w \]

5. **Final equation**: The equation that can be used to find the number of weekly payments \( w \) is:
\[ 300 = 60 + 30w \]