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

Question

A) 15w = 185
B) 15w - 50 = 185
C) 15w + 50 = 185
D) 50w + 15 = 185

Answer 1

To determine the correct equation that represents Jane's savings towards purchasing her bicycle, we need to consider her initial savings and her weekly savings.

• The bike costs $185.
• Jane received $50 for her birthday, which she plans to use towards the bike.
• Jane plans to save an additional $15 per week.

Let \( w \) represent the number of weeks. After \( w \) weeks, Jane will have saved \( 15w \) dollars.

Therefore, her total savings can be expressed as: \[ 50 + 15w \]

To find out when this amount equals the cost of the bicycle, we set up the equation: \[ 50 + 15w = 185 \]

Now we can rearrange this equation to find an equivalent form, if necessary.

The equation \( 50 + 15w = 185 \) is equivalent to \( 15w = 185 - 50 \) which simplifies to \( 15w = 135 \), but we are not searching for simplifications, rather the correct form from the given options.

From the options provided:

• A) \( 15w = 185 \)
• B) \( 15w - 50 = 185 \)
• C) \( 15w + 50 = 185 \)
• D) \( 50w + 15 = 185 \)

The correct choice that reflects Jane's savings is:

C) \( 15w + 50 = 185 \).