Final answer:
Sonia's total income for the week is $530.50, which is closest to option (b) $538.50. Therefore, Sonia's total income for the week is $530.50, which is closest to option (b) $538.50.
Step-by-step explanation:
Sonia works at a sporting goods store and earns $415 per week plus a 5.25% commission on her sales. If her sales for the week are $2,200, then her commission for the week would be 5.25% of $2,200, which is 0.0525 \( imes \) $2,200 = $115.50. Her total income for the week would be her base pay plus commission, which is $415 + $115.50 = $530.50.
To find Sonia's total income for the week, we need to calculate her commission on her sales and add it to her base salary of $415. Her commission is calculated by multiplying her sales amount of $2,200 by 5.25% (or 0.0525).
Commission = $2,200 * 0.0525 = $115.50
Total income = Base salary + Commission = $415 + $115.50 = $530.50
Therefore, Sonia's total income for the week is $530.50, which is closest to option (b) $538.50.