Questions: Iris has 120 songs on her playlist. Each week, she downloads 4 new songs. Write an expression to show the total number of songs on Iris's playlist after w weeks.

Solution Steps

To find the total number of songs on Iris's playlist after \( w \) weeks, we need to account for the initial number of songs and the additional songs downloaded each week. The expression will combine these two quantities.

Iris starts with an initial number of songs on her playlist. This is given as: \[ \text{initial\_songs} = 120 \]

Each week, Iris downloads a certain number of new songs. This is given as: \[ \text{new\_songs\_per\_week} = 4 \]

Let \( w \) represent the number of weeks.

To find the total number of songs after \( w \) weeks, we add the initial number of songs to the product of the number of new songs downloaded each week and the number of weeks: \[ \text{total\_songs} = \text{initial\_songs} + (\text{new\_songs\_per\_week} \times w) \]

Given \( w = 5 \): \[ \text{total\_songs} = 120 + (4 \times 5) \] \[ \text{total\_songs} = 120 + 20 \] \[ \text{total\_songs} = 140 \]

Final Answer