I'll help you answer #1, then follow suit using the same principles to answer the remaining questions.
1) Mrs. Sanchez is receiving a one-time bonus payment of $550. She earns $275 per week. $68 will be subtracted each week for taxes and benefits. Let's represent x as the number of weeks, and y as her true income.
y = $275x - $68x + $550 .......... (weekly earnings - taxes + one-time bonus)
y = $207x + $550 .......... (combining like terms of x)
Her earnings can be represented as y = 207x + 550.
The next part of the question asks for her earnings in one year. Since there are 52 weeks in a year, let's substitute x for 52.
y = 207(52) + 550 .......... (substitute x = 52)
y = 10, 764 + 550 .......... (multiply 207 and 52)
y = $11, 314 (add the two terms)
Mrs. Sanchez will earn $11, 314 in a year.
