Jane is saving up to purchase her first bicycle. The new bicycle caused $185. Jenning got $50 for her birthday and plans to put that towards the bicycle to save the rest of the money. Jane plans to put aside an additional $15 per week until she has saved enough to purchase the bicycle. Write an equation that represents James savings towards earning her bicycle. Use w to represent the number of weeks.

Answer 1

To represent Jane's savings towards earning her bicycle, we can set up the equation as follows:

1. Initial amount from her birthday: Jane already has $50.
2. Additional savings per week: Jane plans to save $15 each week, represented by \(15w\), where \(w\) is the number of weeks.
3. Total cost of the bicycle: The bicycle costs $185.

Putting all of this together, the equation representing Jane's total savings after \(w\) weeks can be written as:

\[ 50 + 15w = 185 \]

In this equation:

• \(50\) is the amount she has from her birthday,
• \(15w\) is the amount she saves over \(w\) weeks,
• \(185\) is the total cost of the bicycle.

This equation can be used to determine how many weeks it will take Jane to save enough money to buy her bicycle.