Final answer:
Imani's financial activities indicated she spent half of her weekly paycheck on textbooks, earned additional money from cleaning, and finished with $2007. The correct calculation shows her full weekly pay should be $2886, but this isn't one of the options provided. The closest option, which might include savings from a previous paycheck, is $3,571.
Step-by-step explanation:
To determine Imani's weekly pay, let's consider her financial activities throughout the week. She started the week with her full weekly paycheck, spent half her weekly pay on textbooks for the semester, took an additional house cleaning job that paid $564, and ended up with $2007 at the end of the week. We can set up an equation to represent this situation:
Let P represent her weekly pay. According to the scenario, Imani spent half of her weekly pay on textbooks, which is P/2. She then earned $564 from the house cleaning job. By the end of the week, she had $2007, which is the remaining half of her weekly pay plus the additional income from cleaning:
P/2 + $564 = $2007.
To find her full weekly pay, first, we need to isolate P:
P/2 = $2007 - $564
P/2 = $1443
P = $1443 × 2
P = $2886.
Therefore, Imani's full weekly pay would be $2886, but none of the options match this amount exactly. If this is a mistake in the question, the closest option would be C) $3,571, assuming that Imani saved some amount from a previous paycheck to end with $2007.