Jane is saving up to purchase her first bicycle the new bike cost 185.00 Jane got $50 for her birthday and plans up with that towards the bike and save the rest of the money change plans to put aside an additional 15 per week until she has enough to say for the purchase the bicycle ride equation that represents James savings bicycle use W to represent the number of weeks

Answer 1

To create an equation representing Jane's savings towards purchasing her bicycle, we can follow these steps:

1. Initial Savings: Jane received $50 for her birthday.
2. Weekly Savings: Jane plans to save an additional $15 each week.
3. Total Cost of the Bicycle: The bicycle costs $185.

Let \( W \) represent the number of weeks Jane saves.

After \( W \) weeks, the total amount Jane will have saved can be represented by the following equation:

\[ \text{Total Savings} = \text{Initial Savings} + \text{Weekly Savings} \times \text{Number of Weeks} \]

Plugging in the values we have:

\[ \text{Total Savings} = 50 + 15W \]

To find out when she has enough to purchase the bicycle, we set this equation equal to the cost of the bicycle:

\[ 50 + 15W = 185 \]

This equation represents Jane's savings towards the bicycle, where \( W \) is the number of weeks she saves. To determine the number of weeks she needs to save in order to afford the bicycle, you can solve for \( W \).

Here's how you would solve it:

1. Subtract 50 from both sides:

\[ 15W = 185 - 50 \] \[ 15W = 135 \]

2. Divide by 15:

\[ W = \frac{135}{15} \] \[ W = 9 \]

So, Jane needs to save for 9 weeks to afford the bicycle.