Question

Carly received $50 every week for babysitting for her neighbors. She decides to save the money she receives to help pay for a camp she wants to attend next summer.

Create a formula for Carly’s savings over time

Answer 1

To create a formula for Carly's savings over time, we need to define a few variables:

- Let \( S \) represent Carly's total savings.
- Let \( w \) represent the number of weeks Carly babysits.
- Carly receives $50 every week for babysitting.

The relationship between these variables can be expressed as:

\[
S = 50w
\]

Where:
- \( S \) is the total amount saved after \( w \) weeks.
- \( 50 \) is the amount Carly earns per week.
- \( w \) is the number of weeks she babysits.

So, for any given number of weeks she babysits, you can substitute \( w \) into the formula to find out how much she has saved. For example:

- After 1 week: \( S = 50(1) = 50 \)
- After 5 weeks: \( S = 50(5) = 250 \)
- After 10 weeks: \( S = 50(10) = 500 \)

This formula allows Carly to calculate her total savings at any point in time based on how many weeks she has babysat.