Final answer:
Sarah's total money after 4 weeks of babysitting and receiving her allowance, minus her spending on clothes, is represented by the simplified expression 4x + 20.
Step-by-step explanation:
Sarah earns a fixed amount from babysitting and a variable weekly allowance. To calculate how much money she has after 4 weeks, we should consider both her earnings from babysitting and her allowance, minus any expenses. For babysitting, she earns $10 each week for 4 weeks, which amounts to $10 \times 4 = $40.
Her allowance is represented by the variable 'x', which is a weekly amount, so over 4 weeks, she will have received 4x dollars. Finally, we subtract her one-time expenditure on clothes, which is $20.
The expression representing how much money Sarah has after 4 weeks is: (10 \times 4) + (4x) - 20. Simplifying the expression, we get: 40 + 4x - 20, which can be further simplified to: 4x + 20.