Final answer:
The monthly profit for the home cleaning service is $2,168.90.
Step-by-step explanation:
To determine the monthly profit of the home cleaning service, we need to calculate the total revenue and subtract the total expenses. First, let's calculate the total revenue by multiplying the number of homes cleaned (38) by the sale price per home ($100): 38 x $100 = $3,800. Next, let's calculate the total variable expenses by multiplying the number of homes cleaned (38) by the variable expense per home ($7.45): 38 x $7.45 = $283.10. Finally, let's calculate the monthly profit by subtracting the fixed expenses ($1,348) and the variable expenses ($283.10) from the total revenue ($3,800): $3,800 - $1,348 - $283.10 = $2,168.90.